114=7x-2(7x-36)

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Solution for 114=7x-2(7x-36) equation:


Simplifying
114 = 7x + -2(7x + -36)

Reorder the terms:
114 = 7x + -2(-36 + 7x)
114 = 7x + (-36 * -2 + 7x * -2)
114 = 7x + (72 + -14x)

Reorder the terms:
114 = 72 + 7x + -14x

Combine like terms: 7x + -14x = -7x
114 = 72 + -7x

Solving
114 = 72 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
114 + 7x = 72 + -7x + 7x

Combine like terms: -7x + 7x = 0
114 + 7x = 72 + 0
114 + 7x = 72

Add '-114' to each side of the equation.
114 + -114 + 7x = 72 + -114

Combine like terms: 114 + -114 = 0
0 + 7x = 72 + -114
7x = 72 + -114

Combine like terms: 72 + -114 = -42
7x = -42

Divide each side by '7'.
x = -6

Simplifying
x = -6

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