10(-9x+19)=-35(x-2)

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Solution for 10(-9x+19)=-35(x-2) equation: 


Simplifying
10(-9x + 19) = -35(x + -2)

Reorder the terms:
10(19 + -9x) = -35(x + -2)
(19 * 10 + -9x * 10) = -35(x + -2)
(190 + -90x) = -35(x + -2)

Reorder the terms:
190 + -90x = -35(-2 + x)
190 + -90x = (-2 * -35 + x * -35)
190 + -90x = (70 + -35x)

Solving
190 + -90x = 70 + -35x

Solving for variable 'x'.

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

Add '35x' to each side of the equation.
190 + -90x + 35x = 70 + -35x + 35x

Combine like terms: -90x + 35x = -55x
190 + -55x = 70 + -35x + 35x

Combine like terms: -35x + 35x = 0
190 + -55x = 70 + 0
190 + -55x = 70

Add '-190' to each side of the equation.
190 + -190 + -55x = 70 + -190

Combine like terms: 190 + -190 = 0
0 + -55x = 70 + -190
-55x = 70 + -190

Combine like terms: 70 + -190 = -120
-55x = -120

Divide each side by '-55'.
x = 2.181818182

Simplifying
x = 2.181818182

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