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

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


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

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

Combine like terms: -6x + 3x = -3x
12 + -3x = 7(x + 2)

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

Solving
12 + -3x = 14 + 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 + -3x + -7x = 14 + 7x + -7x

Combine like terms: -3x + -7x = -10x
12 + -10x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -10x = 14 + 0
12 + -10x = 14

Add '-12' to each side of the equation.
12 + -12 + -10x = 14 + -12

Combine like terms: 12 + -12 = 0
0 + -10x = 14 + -12
-10x = 14 + -12

Combine like terms: 14 + -12 = 2
-10x = 2

Divide each side by '-10'.
x = -0.2

Simplifying
x = -0.2

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