12(3x+4)-7=2x-23

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Solution for 12(3x+4)-7=2x-23 equation:


Simplifying
12(3x + 4) + -7 = 2x + -23

Reorder the terms:
12(4 + 3x) + -7 = 2x + -23
(4 * 12 + 3x * 12) + -7 = 2x + -23
(48 + 36x) + -7 = 2x + -23

Reorder the terms:
48 + -7 + 36x = 2x + -23

Combine like terms: 48 + -7 = 41
41 + 36x = 2x + -23

Reorder the terms:
41 + 36x = -23 + 2x

Solving
41 + 36x = -23 + 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.
41 + 36x + -2x = -23 + 2x + -2x

Combine like terms: 36x + -2x = 34x
41 + 34x = -23 + 2x + -2x

Combine like terms: 2x + -2x = 0
41 + 34x = -23 + 0
41 + 34x = -23

Add '-41' to each side of the equation.
41 + -41 + 34x = -23 + -41

Combine like terms: 41 + -41 = 0
0 + 34x = -23 + -41
34x = -23 + -41

Combine like terms: -23 + -41 = -64
34x = -64

Divide each side by '34'.
x = -1.882352941

Simplifying
x = -1.882352941

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