6(x+2)-5(x+5)=-5x+9+7x-5

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Solution for 6(x+2)-5(x+5)=-5x+9+7x-5 equation:


Simplifying
6(x + 2) + -5(x + 5) = -5x + 9 + 7x + -5

Reorder the terms:
6(2 + x) + -5(x + 5) = -5x + 9 + 7x + -5
(2 * 6 + x * 6) + -5(x + 5) = -5x + 9 + 7x + -5
(12 + 6x) + -5(x + 5) = -5x + 9 + 7x + -5

Reorder the terms:
12 + 6x + -5(5 + x) = -5x + 9 + 7x + -5
12 + 6x + (5 * -5 + x * -5) = -5x + 9 + 7x + -5
12 + 6x + (-25 + -5x) = -5x + 9 + 7x + -5

Reorder the terms:
12 + -25 + 6x + -5x = -5x + 9 + 7x + -5

Combine like terms: 12 + -25 = -13
-13 + 6x + -5x = -5x + 9 + 7x + -5

Combine like terms: 6x + -5x = 1x
-13 + 1x = -5x + 9 + 7x + -5

Reorder the terms:
-13 + 1x = 9 + -5 + -5x + 7x

Combine like terms: 9 + -5 = 4
-13 + 1x = 4 + -5x + 7x

Combine like terms: -5x + 7x = 2x
-13 + 1x = 4 + 2x

Solving
-13 + 1x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-13 + 1x + -2x = 4 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-13 + -1x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + -1x = 4 + 0
-13 + -1x = 4

Add '13' to each side of the equation.
-13 + 13 + -1x = 4 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 4 + 13
-1x = 4 + 13

Combine like terms: 4 + 13 = 17
-1x = 17

Divide each side by '-1'.
x = -17

Simplifying
x = -17

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