Linear Equation Solver — ax + b = cx + d
Quick answer: Enter a, b, c, d to solve ax + b = cx + d. Shows every step: rearrange, combine, divide.
Solve any linear equation in one variable of the form ax + b = cx + d. Enter the four coefficients and get an instant solution with full step-by-step working — or find out if there are zero or infinite solutions. Follows standard algebra curriculum taught in middle and high school math.
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Last reviewed: April 2026Report an error
Solve: ax + b = cx + d
Solution
x = 2
2x + 3 = 0x + 7 → 2x - 0x = 7 - 3 → 2x = 4 → x = 4 ÷ 2 = 2
Step 1
2x + 3 = 0x + 7
Step 2
2x - 0x = 7 - 3
Step 3
2x = 4
Step 4
x = 4 ÷ 2 = 2
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How to Use This Linear Equation Solver Calculator
- 1Enter a (coefficient of x on the left side).
- 2Enter b (constant on the left side).
- 3Enter c (coefficient of x on the right side).
- 4Enter d (constant on the right side).
- 5Read x and the step-by-step solution.
Frequently Asked Questions
- A linear equation is an equation where the variable (x) has an exponent of 1 — no x², no x³. The graph of a linear equation is always a straight line.
- When the coefficients of x cancel out (a = c) but the constants don't match, the equation is a contradiction. Example: 2x + 3 = 2x + 7 → 3 = 7 (impossible).
- When both sides are identical after simplification: 2x + 3 = 2x + 3. Any value of x satisfies the equation, so all real numbers are solutions.
- Yes — enter decimals for fractional coefficients. For example, ½x + 1 = 2 is entered as a=0.5, b=1, c=0, d=2.
- The solver follows three steps: (1) write the original equation, (2) move x-terms left and constants right, (3) divide both sides by the coefficient of x.
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