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

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Solution for 8(x+3)+2(x+3)=7x-7 equation:


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

Reorder the terms:
8(3 + x) + 2(x + 3) = 7x + -7
(3 * 8 + x * 8) + 2(x + 3) = 7x + -7
(24 + 8x) + 2(x + 3) = 7x + -7

Reorder the terms:
24 + 8x + 2(3 + x) = 7x + -7
24 + 8x + (3 * 2 + x * 2) = 7x + -7
24 + 8x + (6 + 2x) = 7x + -7

Reorder the terms:
24 + 6 + 8x + 2x = 7x + -7

Combine like terms: 24 + 6 = 30
30 + 8x + 2x = 7x + -7

Combine like terms: 8x + 2x = 10x
30 + 10x = 7x + -7

Reorder the terms:
30 + 10x = -7 + 7x

Solving
30 + 10x = -7 + 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.
30 + 10x + -7x = -7 + 7x + -7x

Combine like terms: 10x + -7x = 3x
30 + 3x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
30 + 3x = -7 + 0
30 + 3x = -7

Add '-30' to each side of the equation.
30 + -30 + 3x = -7 + -30

Combine like terms: 30 + -30 = 0
0 + 3x = -7 + -30
3x = -7 + -30

Combine like terms: -7 + -30 = -37
3x = -37

Divide each side by '3'.
x = -12.33333333

Simplifying
x = -12.33333333

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