7x+114=(3x+16)2

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Solution for 7x+114=(3x+16)2 equation:


Simplifying
7x + 114 = (3x + 16) * 2

Reorder the terms:
114 + 7x = (3x + 16) * 2

Reorder the terms:
114 + 7x = (16 + 3x) * 2

Reorder the terms for easier multiplication:
114 + 7x = 2(16 + 3x)
114 + 7x = (16 * 2 + 3x * 2)
114 + 7x = (32 + 6x)

Solving
114 + 7x = 32 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
114 + 7x + -6x = 32 + 6x + -6x

Combine like terms: 7x + -6x = 1x
114 + 1x = 32 + 6x + -6x

Combine like terms: 6x + -6x = 0
114 + 1x = 32 + 0
114 + 1x = 32

Add '-114' to each side of the equation.
114 + -114 + 1x = 32 + -114

Combine like terms: 114 + -114 = 0
0 + 1x = 32 + -114
1x = 32 + -114

Combine like terms: 32 + -114 = -82
1x = -82

Divide each side by '1'.
x = -82

Simplifying
x = -82

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