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

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


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

Reorder the terms:
7(4 + x) + 3(x + 4) = 6x + -6
(4 * 7 + x * 7) + 3(x + 4) = 6x + -6
(28 + 7x) + 3(x + 4) = 6x + -6

Reorder the terms:
28 + 7x + 3(4 + x) = 6x + -6
28 + 7x + (4 * 3 + x * 3) = 6x + -6
28 + 7x + (12 + 3x) = 6x + -6

Reorder the terms:
28 + 12 + 7x + 3x = 6x + -6

Combine like terms: 28 + 12 = 40
40 + 7x + 3x = 6x + -6

Combine like terms: 7x + 3x = 10x
40 + 10x = 6x + -6

Reorder the terms:
40 + 10x = -6 + 6x

Solving
40 + 10x = -6 + 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.
40 + 10x + -6x = -6 + 6x + -6x

Combine like terms: 10x + -6x = 4x
40 + 4x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
40 + 4x = -6 + 0
40 + 4x = -6

Add '-40' to each side of the equation.
40 + -40 + 4x = -6 + -40

Combine like terms: 40 + -40 = 0
0 + 4x = -6 + -40
4x = -6 + -40

Combine like terms: -6 + -40 = -46
4x = -46

Divide each side by '4'.
x = -11.5

Simplifying
x = -11.5

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