59=7x-3(x-13)

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Solution for 59=7x-3(x-13) equation:


Simplifying
59 = 7x + -3(x + -13)

Reorder the terms:
59 = 7x + -3(-13 + x)
59 = 7x + (-13 * -3 + x * -3)
59 = 7x + (39 + -3x)

Reorder the terms:
59 = 39 + 7x + -3x

Combine like terms: 7x + -3x = 4x
59 = 39 + 4x

Solving
59 = 39 + 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.
59 + -4x = 39 + 4x + -4x

Combine like terms: 4x + -4x = 0
59 + -4x = 39 + 0
59 + -4x = 39

Add '-59' to each side of the equation.
59 + -59 + -4x = 39 + -59

Combine like terms: 59 + -59 = 0
0 + -4x = 39 + -59
-4x = 39 + -59

Combine like terms: 39 + -59 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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