-7(x-11)+3(1+3x)=5x+7x

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Solution for -7(x-11)+3(1+3x)=5x+7x equation:


Simplifying
-7(x + -11) + 3(1 + 3x) = 5x + 7x

Reorder the terms:
-7(-11 + x) + 3(1 + 3x) = 5x + 7x
(-11 * -7 + x * -7) + 3(1 + 3x) = 5x + 7x
(77 + -7x) + 3(1 + 3x) = 5x + 7x
77 + -7x + (1 * 3 + 3x * 3) = 5x + 7x
77 + -7x + (3 + 9x) = 5x + 7x

Reorder the terms:
77 + 3 + -7x + 9x = 5x + 7x

Combine like terms: 77 + 3 = 80
80 + -7x + 9x = 5x + 7x

Combine like terms: -7x + 9x = 2x
80 + 2x = 5x + 7x

Combine like terms: 5x + 7x = 12x
80 + 2x = 12x

Solving
80 + 2x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
80 + 2x + -12x = 12x + -12x

Combine like terms: 2x + -12x = -10x
80 + -10x = 12x + -12x

Combine like terms: 12x + -12x = 0
80 + -10x = 0

Add '-80' to each side of the equation.
80 + -80 + -10x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -10x = 0 + -80
-10x = 0 + -80

Combine like terms: 0 + -80 = -80
-10x = -80

Divide each side by '-10'.
x = 8

Simplifying
x = 8

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