6*(x+9)-3*x+11=5*(x+1)-10*x

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Solution for 6*(x+9)-3*x+11=5*(x+1)-10*x equation:


Simplifying
6(x + 9) + -3x + 11 = 5(x + 1) + -10x

Reorder the terms:
6(9 + x) + -3x + 11 = 5(x + 1) + -10x
(9 * 6 + x * 6) + -3x + 11 = 5(x + 1) + -10x
(54 + 6x) + -3x + 11 = 5(x + 1) + -10x

Reorder the terms:
54 + 11 + 6x + -3x = 5(x + 1) + -10x

Combine like terms: 54 + 11 = 65
65 + 6x + -3x = 5(x + 1) + -10x

Combine like terms: 6x + -3x = 3x
65 + 3x = 5(x + 1) + -10x

Reorder the terms:
65 + 3x = 5(1 + x) + -10x
65 + 3x = (1 * 5 + x * 5) + -10x
65 + 3x = (5 + 5x) + -10x

Combine like terms: 5x + -10x = -5x
65 + 3x = 5 + -5x

Solving
65 + 3x = 5 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
65 + 3x + 5x = 5 + -5x + 5x

Combine like terms: 3x + 5x = 8x
65 + 8x = 5 + -5x + 5x

Combine like terms: -5x + 5x = 0
65 + 8x = 5 + 0
65 + 8x = 5

Add '-65' to each side of the equation.
65 + -65 + 8x = 5 + -65

Combine like terms: 65 + -65 = 0
0 + 8x = 5 + -65
8x = 5 + -65

Combine like terms: 5 + -65 = -60
8x = -60

Divide each side by '8'.
x = -7.5

Simplifying
x = -7.5

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