4(3x+2)+5=-2x+27

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Solution for 4(3x+2)+5=-2x+27 equation:


Simplifying
4(3x + 2) + 5 = -2x + 27

Reorder the terms:
4(2 + 3x) + 5 = -2x + 27
(2 * 4 + 3x * 4) + 5 = -2x + 27
(8 + 12x) + 5 = -2x + 27

Reorder the terms:
8 + 5 + 12x = -2x + 27

Combine like terms: 8 + 5 = 13
13 + 12x = -2x + 27

Reorder the terms:
13 + 12x = 27 + -2x

Solving
13 + 12x = 27 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
13 + 12x + 2x = 27 + -2x + 2x

Combine like terms: 12x + 2x = 14x
13 + 14x = 27 + -2x + 2x

Combine like terms: -2x + 2x = 0
13 + 14x = 27 + 0
13 + 14x = 27

Add '-13' to each side of the equation.
13 + -13 + 14x = 27 + -13

Combine like terms: 13 + -13 = 0
0 + 14x = 27 + -13
14x = 27 + -13

Combine like terms: 27 + -13 = 14
14x = 14

Divide each side by '14'.
x = 1

Simplifying
x = 1

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