3x+40=4x-13

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Solution for 3x+40=4x-13 equation:


Simplifying
3x + 40 = 4x + -13

Reorder the terms:
40 + 3x = 4x + -13

Reorder the terms:
40 + 3x = -13 + 4x

Solving
40 + 3x = -13 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
40 + 3x + -4x = -13 + 4x + -4x

Combine like terms: 3x + -4x = -1x
40 + -1x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
40 + -1x = -13 + 0
40 + -1x = -13

Add '-40' to each side of the equation.
40 + -40 + -1x = -13 + -40

Combine like terms: 40 + -40 = 0
0 + -1x = -13 + -40
-1x = -13 + -40

Combine like terms: -13 + -40 = -53
-1x = -53

Divide each side by '-1'.
x = 53

Simplifying
x = 53

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