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

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Solution for 6(x+2)=4(2x-7) equation: 


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

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

Reorder the terms:
12 + 6x = 4(-7 + 2x)
12 + 6x = (-7 * 4 + 2x * 4)
12 + 6x = (-28 + 8x)

Solving
12 + 6x = -28 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
12 + 6x + -8x = -28 + 8x + -8x

Combine like terms: 6x + -8x = -2x
12 + -2x = -28 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + -2x = -28 + 0
12 + -2x = -28

Add '-12' to each side of the equation.
12 + -12 + -2x = -28 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -28 + -12
-2x = -28 + -12

Combine like terms: -28 + -12 = -40
-2x = -40

Divide each side by '-2'.
x = 20

Simplifying
x = 20

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