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

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


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

Reorder the terms:
5(6 + -2x) = 4(-9x + 2)
(6 * 5 + -2x * 5) = 4(-9x + 2)
(30 + -10x) = 4(-9x + 2)

Reorder the terms:
30 + -10x = 4(2 + -9x)
30 + -10x = (2 * 4 + -9x * 4)
30 + -10x = (8 + -36x)

Solving
30 + -10x = 8 + -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.
30 + -10x + 36x = 8 + -36x + 36x

Combine like terms: -10x + 36x = 26x
30 + 26x = 8 + -36x + 36x

Combine like terms: -36x + 36x = 0
30 + 26x = 8 + 0
30 + 26x = 8

Add '-30' to each side of the equation.
30 + -30 + 26x = 8 + -30

Combine like terms: 30 + -30 = 0
0 + 26x = 8 + -30
26x = 8 + -30

Combine like terms: 8 + -30 = -22
26x = -22

Divide each side by '26'.
x = -0.8461538462

Simplifying
x = -0.8461538462

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