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

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


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

Reorder the terms:
3(4 + -2x) = 7x + -23
(4 * 3 + -2x * 3) = 7x + -23
(12 + -6x) = 7x + -23

Reorder the terms:
12 + -6x = -23 + 7x

Solving
12 + -6x = -23 + 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.
12 + -6x + -7x = -23 + 7x + -7x

Combine like terms: -6x + -7x = -13x
12 + -13x = -23 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -13x = -23 + 0
12 + -13x = -23

Add '-12' to each side of the equation.
12 + -12 + -13x = -23 + -12

Combine like terms: 12 + -12 = 0
0 + -13x = -23 + -12
-13x = -23 + -12

Combine like terms: -23 + -12 = -35
-13x = -35

Divide each side by '-13'.
x = 2.692307692

Simplifying
x = 2.692307692

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