-7(-3x+5)-9x=2(x-5)-9

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Solution for -7(-3x+5)-9x=2(x-5)-9 equation:


Simplifying
-7(-3x + 5) + -9x = 2(x + -5) + -9

Reorder the terms:
-7(5 + -3x) + -9x = 2(x + -5) + -9
(5 * -7 + -3x * -7) + -9x = 2(x + -5) + -9
(-35 + 21x) + -9x = 2(x + -5) + -9

Combine like terms: 21x + -9x = 12x
-35 + 12x = 2(x + -5) + -9

Reorder the terms:
-35 + 12x = 2(-5 + x) + -9
-35 + 12x = (-5 * 2 + x * 2) + -9
-35 + 12x = (-10 + 2x) + -9

Reorder the terms:
-35 + 12x = -10 + -9 + 2x

Combine like terms: -10 + -9 = -19
-35 + 12x = -19 + 2x

Solving
-35 + 12x = -19 + 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.
-35 + 12x + -2x = -19 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-35 + 10x = -19 + 2x + -2x

Combine like terms: 2x + -2x = 0
-35 + 10x = -19 + 0
-35 + 10x = -19

Add '35' to each side of the equation.
-35 + 35 + 10x = -19 + 35

Combine like terms: -35 + 35 = 0
0 + 10x = -19 + 35
10x = -19 + 35

Combine like terms: -19 + 35 = 16
10x = 16

Divide each side by '10'.
x = 1.6

Simplifying
x = 1.6

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