-12x+14=7(x-4)

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Solution for -12x+14=7(x-4) equation:


Simplifying
-12x + 14 = 7(x + -4)

Reorder the terms:
14 + -12x = 7(x + -4)

Reorder the terms:
14 + -12x = 7(-4 + x)
14 + -12x = (-4 * 7 + x * 7)
14 + -12x = (-28 + 7x)

Solving
14 + -12x = -28 + 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.
14 + -12x + -7x = -28 + 7x + -7x

Combine like terms: -12x + -7x = -19x
14 + -19x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
14 + -19x = -28 + 0
14 + -19x = -28

Add '-14' to each side of the equation.
14 + -14 + -19x = -28 + -14

Combine like terms: 14 + -14 = 0
0 + -19x = -28 + -14
-19x = -28 + -14

Combine like terms: -28 + -14 = -42
-19x = -42

Divide each side by '-19'.
x = 2.210526316

Simplifying
x = 2.210526316

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