58=2x+2(4x-11)

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Solution for 58=2x+2(4x-11) equation:


Simplifying
58 = 2x + 2(4x + -11)

Reorder the terms:
58 = 2x + 2(-11 + 4x)
58 = 2x + (-11 * 2 + 4x * 2)
58 = 2x + (-22 + 8x)

Reorder the terms:
58 = -22 + 2x + 8x

Combine like terms: 2x + 8x = 10x
58 = -22 + 10x

Solving
58 = -22 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
58 + -10x = -22 + 10x + -10x

Combine like terms: 10x + -10x = 0
58 + -10x = -22 + 0
58 + -10x = -22

Add '-58' to each side of the equation.
58 + -58 + -10x = -22 + -58

Combine like terms: 58 + -58 = 0
0 + -10x = -22 + -58
-10x = -22 + -58

Combine like terms: -22 + -58 = -80
-10x = -80

Divide each side by '-10'.
x = 8

Simplifying
x = 8

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