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

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


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

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

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

Solving
7 + 6x = 12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
7 + 6x + 3x = 12 + -3x + 3x

Combine like terms: 6x + 3x = 9x
7 + 9x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + 9x = 12 + 0
7 + 9x = 12

Add '-7' to each side of the equation.
7 + -7 + 9x = 12 + -7

Combine like terms: 7 + -7 = 0
0 + 9x = 12 + -7
9x = 12 + -7

Combine like terms: 12 + -7 = 5
9x = 5

Divide each side by '9'.
x = 0.5555555556

Simplifying
x = 0.5555555556

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