3(4x+4)+14=5x-2

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Solution for 3(4x+4)+14=5x-2 equation:


Simplifying
3(4x + 4) + 14 = 5x + -2

Reorder the terms:
3(4 + 4x) + 14 = 5x + -2
(4 * 3 + 4x * 3) + 14 = 5x + -2
(12 + 12x) + 14 = 5x + -2

Reorder the terms:
12 + 14 + 12x = 5x + -2

Combine like terms: 12 + 14 = 26
26 + 12x = 5x + -2

Reorder the terms:
26 + 12x = -2 + 5x

Solving
26 + 12x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
26 + 12x + -5x = -2 + 5x + -5x

Combine like terms: 12x + -5x = 7x
26 + 7x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
26 + 7x = -2 + 0
26 + 7x = -2

Add '-26' to each side of the equation.
26 + -26 + 7x = -2 + -26

Combine like terms: 26 + -26 = 0
0 + 7x = -2 + -26
7x = -2 + -26

Combine like terms: -2 + -26 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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