2(x+5)=-4(-9x+6)

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Solution for 2(x+5)=-4(-9x+6) equation: 


Simplifying
2(x + 5) = -4(-9x + 6)

Reorder the terms:
2(5 + x) = -4(-9x + 6)
(5 * 2 + x * 2) = -4(-9x + 6)
(10 + 2x) = -4(-9x + 6)

Reorder the terms:
10 + 2x = -4(6 + -9x)
10 + 2x = (6 * -4 + -9x * -4)
10 + 2x = (-24 + 36x)

Solving
10 + 2x = -24 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
10 + 2x + -36x = -24 + 36x + -36x

Combine like terms: 2x + -36x = -34x
10 + -34x = -24 + 36x + -36x

Combine like terms: 36x + -36x = 0
10 + -34x = -24 + 0
10 + -34x = -24

Add '-10' to each side of the equation.
10 + -10 + -34x = -24 + -10

Combine like terms: 10 + -10 = 0
0 + -34x = -24 + -10
-34x = -24 + -10

Combine like terms: -24 + -10 = -34
-34x = -34

Divide each side by '-34'.
x = 1

Simplifying
x = 1

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