138=2x+4(2x+7)

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Solution for 138=2x+4(2x+7) equation:


Simplifying
138 = 2x + 4(2x + 7)

Reorder the terms:
138 = 2x + 4(7 + 2x)
138 = 2x + (7 * 4 + 2x * 4)
138 = 2x + (28 + 8x)

Reorder the terms:
138 = 28 + 2x + 8x

Combine like terms: 2x + 8x = 10x
138 = 28 + 10x

Solving
138 = 28 + 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.
138 + -10x = 28 + 10x + -10x

Combine like terms: 10x + -10x = 0
138 + -10x = 28 + 0
138 + -10x = 28

Add '-138' to each side of the equation.
138 + -138 + -10x = 28 + -138

Combine like terms: 138 + -138 = 0
0 + -10x = 28 + -138
-10x = 28 + -138

Combine like terms: 28 + -138 = -110
-10x = -110

Divide each side by '-10'.
x = 11

Simplifying
x = 11

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