118=4x+7(2x-14)

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Solution for 118=4x+7(2x-14) equation:


Simplifying
118 = 4x + 7(2x + -14)

Reorder the terms:
118 = 4x + 7(-14 + 2x)
118 = 4x + (-14 * 7 + 2x * 7)
118 = 4x + (-98 + 14x)

Reorder the terms:
118 = -98 + 4x + 14x

Combine like terms: 4x + 14x = 18x
118 = -98 + 18x

Solving
118 = -98 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
118 + -18x = -98 + 18x + -18x

Combine like terms: 18x + -18x = 0
118 + -18x = -98 + 0
118 + -18x = -98

Add '-118' to each side of the equation.
118 + -118 + -18x = -98 + -118

Combine like terms: 118 + -118 = 0
0 + -18x = -98 + -118
-18x = -98 + -118

Combine like terms: -98 + -118 = -216
-18x = -216

Divide each side by '-18'.
x = 12

Simplifying
x = 12

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