x*4+59=x*7-13

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Solution for x*4+59=x*7-13 equation:


Simplifying
x * 4 + 59 = x * 7 + -13

Reorder the terms for easier multiplication:
4x + 59 = x * 7 + -13

Reorder the terms:
59 + 4x = x * 7 + -13

Reorder the terms for easier multiplication:
59 + 4x = 7x + -13

Reorder the terms:
59 + 4x = -13 + 7x

Solving
59 + 4x = -13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
59 + 4x + -7x = -13 + 7x + -7x

Combine like terms: 4x + -7x = -3x
59 + -3x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 0
59 + -3x = -13 + 0
59 + -3x = -13

Add '-59' to each side of the equation.
59 + -59 + -3x = -13 + -59

Combine like terms: 59 + -59 = 0
0 + -3x = -13 + -59
-3x = -13 + -59

Combine like terms: -13 + -59 = -72
-3x = -72

Divide each side by '-3'.
x = 24

Simplifying
x = 24

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