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

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Solution for 9(x+3)+8(x+3)=7x-7 equation:


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

Reorder the terms:
9(3 + x) + 8(x + 3) = 7x + -7
(3 * 9 + x * 9) + 8(x + 3) = 7x + -7
(27 + 9x) + 8(x + 3) = 7x + -7

Reorder the terms:
27 + 9x + 8(3 + x) = 7x + -7
27 + 9x + (3 * 8 + x * 8) = 7x + -7
27 + 9x + (24 + 8x) = 7x + -7

Reorder the terms:
27 + 24 + 9x + 8x = 7x + -7

Combine like terms: 27 + 24 = 51
51 + 9x + 8x = 7x + -7

Combine like terms: 9x + 8x = 17x
51 + 17x = 7x + -7

Reorder the terms:
51 + 17x = -7 + 7x

Solving
51 + 17x = -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.
51 + 17x + -7x = -7 + 7x + -7x

Combine like terms: 17x + -7x = 10x
51 + 10x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
51 + 10x = -7 + 0
51 + 10x = -7

Add '-51' to each side of the equation.
51 + -51 + 10x = -7 + -51

Combine like terms: 51 + -51 = 0
0 + 10x = -7 + -51
10x = -7 + -51

Combine like terms: -7 + -51 = -58
10x = -58

Divide each side by '10'.
x = -5.8

Simplifying
x = -5.8

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