9(3x+6)-8(x+6)=10x+2-5

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Solution for 9(3x+6)-8(x+6)=10x+2-5 equation:


Simplifying
9(3x + 6) + -8(x + 6) = 10x + 2 + -5

Reorder the terms:
9(6 + 3x) + -8(x + 6) = 10x + 2 + -5
(6 * 9 + 3x * 9) + -8(x + 6) = 10x + 2 + -5
(54 + 27x) + -8(x + 6) = 10x + 2 + -5

Reorder the terms:
54 + 27x + -8(6 + x) = 10x + 2 + -5
54 + 27x + (6 * -8 + x * -8) = 10x + 2 + -5
54 + 27x + (-48 + -8x) = 10x + 2 + -5

Reorder the terms:
54 + -48 + 27x + -8x = 10x + 2 + -5

Combine like terms: 54 + -48 = 6
6 + 27x + -8x = 10x + 2 + -5

Combine like terms: 27x + -8x = 19x
6 + 19x = 10x + 2 + -5

Reorder the terms:
6 + 19x = 2 + -5 + 10x

Combine like terms: 2 + -5 = -3
6 + 19x = -3 + 10x

Solving
6 + 19x = -3 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 19x + -10x = -3 + 10x + -10x

Combine like terms: 19x + -10x = 9x
6 + 9x = -3 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + 9x = -3 + 0
6 + 9x = -3

Add '-6' to each side of the equation.
6 + -6 + 9x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = -3 + -6
9x = -3 + -6

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

Divide each side by '9'.
x = -1

Simplifying
x = -1

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