-9(1-x)+5(10-2x)=x-7+10x

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Solution for -9(1-x)+5(10-2x)=x-7+10x equation:


Simplifying
-9(1 + -1x) + 5(10 + -2x) = x + -7 + 10x
(1 * -9 + -1x * -9) + 5(10 + -2x) = x + -7 + 10x
(-9 + 9x) + 5(10 + -2x) = x + -7 + 10x
-9 + 9x + (10 * 5 + -2x * 5) = x + -7 + 10x
-9 + 9x + (50 + -10x) = x + -7 + 10x

Reorder the terms:
-9 + 50 + 9x + -10x = x + -7 + 10x

Combine like terms: -9 + 50 = 41
41 + 9x + -10x = x + -7 + 10x

Combine like terms: 9x + -10x = -1x
41 + -1x = x + -7 + 10x

Reorder the terms:
41 + -1x = -7 + x + 10x

Combine like terms: x + 10x = 11x
41 + -1x = -7 + 11x

Solving
41 + -1x = -7 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
41 + -1x + -11x = -7 + 11x + -11x

Combine like terms: -1x + -11x = -12x
41 + -12x = -7 + 11x + -11x

Combine like terms: 11x + -11x = 0
41 + -12x = -7 + 0
41 + -12x = -7

Add '-41' to each side of the equation.
41 + -41 + -12x = -7 + -41

Combine like terms: 41 + -41 = 0
0 + -12x = -7 + -41
-12x = -7 + -41

Combine like terms: -7 + -41 = -48
-12x = -48

Divide each side by '-12'.
x = 4

Simplifying
x = 4

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