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

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


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

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

Reorder the terms:
24 + 8x + 3(3 + x) = 7x + -7
24 + 8x + (3 * 3 + x * 3) = 7x + -7
24 + 8x + (9 + 3x) = 7x + -7

Reorder the terms:
24 + 9 + 8x + 3x = 7x + -7

Combine like terms: 24 + 9 = 33
33 + 8x + 3x = 7x + -7

Combine like terms: 8x + 3x = 11x
33 + 11x = 7x + -7

Reorder the terms:
33 + 11x = -7 + 7x

Solving
33 + 11x = -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.
33 + 11x + -7x = -7 + 7x + -7x

Combine like terms: 11x + -7x = 4x
33 + 4x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
33 + 4x = -7 + 0
33 + 4x = -7

Add '-33' to each side of the equation.
33 + -33 + 4x = -7 + -33

Combine like terms: 33 + -33 = 0
0 + 4x = -7 + -33
4x = -7 + -33

Combine like terms: -7 + -33 = -40
4x = -40

Divide each side by '4'.
x = -10

Simplifying
x = -10

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