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

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


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

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

Reorder the terms:
12 + 4x = 2(-7 + 3x)
12 + 4x = (-7 * 2 + 3x * 2)
12 + 4x = (-14 + 6x)

Solving
12 + 4x = -14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 4x + -6x = -14 + 6x + -6x

Combine like terms: 4x + -6x = -2x
12 + -2x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -2x = -14 + 0
12 + -2x = -14

Add '-12' to each side of the equation.
12 + -12 + -2x = -14 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -14 + -12
-2x = -14 + -12

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

Divide each side by '-2'.
x = 13

Simplifying
x = 13

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