6x+12=7x-3(2x+4)

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Solution for 6x+12=7x-3(2x+4) equation:


Simplifying
6x + 12 = 7x + -3(2x + 4)

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

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

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

Combine like terms: 7x + -6x = 1x
12 + 6x = -12 + 1x

Solving
12 + 6x = -12 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + 6x + -1x = -12 + 1x + -1x

Combine like terms: 6x + -1x = 5x
12 + 5x = -12 + 1x + -1x

Combine like terms: 1x + -1x = 0
12 + 5x = -12 + 0
12 + 5x = -12

Add '-12' to each side of the equation.
12 + -12 + 5x = -12 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = -12 + -12
5x = -12 + -12

Combine like terms: -12 + -12 = -24
5x = -24

Divide each side by '5'.
x = -4.8

Simplifying
x = -4.8

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