58=6x+2(-x+13)

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Solution for 58=6x+2(-x+13) equation:


Simplifying
58 = 6x + 2(-1x + 13)

Reorder the terms:
58 = 6x + 2(13 + -1x)
58 = 6x + (13 * 2 + -1x * 2)
58 = 6x + (26 + -2x)

Reorder the terms:
58 = 26 + 6x + -2x

Combine like terms: 6x + -2x = 4x
58 = 26 + 4x

Solving
58 = 26 + 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.
58 + -4x = 26 + 4x + -4x

Combine like terms: 4x + -4x = 0
58 + -4x = 26 + 0
58 + -4x = 26

Add '-58' to each side of the equation.
58 + -58 + -4x = 26 + -58

Combine like terms: 58 + -58 = 0
0 + -4x = 26 + -58
-4x = 26 + -58

Combine like terms: 26 + -58 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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