2x-7=5x-40

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Solution for 2x-7=5x-40 equation:


Simplifying
2x + -7 = 5x + -40

Reorder the terms:
-7 + 2x = 5x + -40

Reorder the terms:
-7 + 2x = -40 + 5x

Solving
-7 + 2x = -40 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-7 + 2x + -5x = -40 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-7 + -3x = -40 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + -3x = -40 + 0
-7 + -3x = -40

Add '7' to each side of the equation.
-7 + 7 + -3x = -40 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = -40 + 7
-3x = -40 + 7

Combine like terms: -40 + 7 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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