5(2x+9)=-4(-5-2x)+3x

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Solution for 5(2x+9)=-4(-5-2x)+3x equation:


Simplifying
5(2x + 9) = -4(-5 + -2x) + 3x

Reorder the terms:
5(9 + 2x) = -4(-5 + -2x) + 3x
(9 * 5 + 2x * 5) = -4(-5 + -2x) + 3x
(45 + 10x) = -4(-5 + -2x) + 3x
45 + 10x = (-5 * -4 + -2x * -4) + 3x
45 + 10x = (20 + 8x) + 3x

Combine like terms: 8x + 3x = 11x
45 + 10x = 20 + 11x

Solving
45 + 10x = 20 + 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.
45 + 10x + -11x = 20 + 11x + -11x

Combine like terms: 10x + -11x = -1x
45 + -1x = 20 + 11x + -11x

Combine like terms: 11x + -11x = 0
45 + -1x = 20 + 0
45 + -1x = 20

Add '-45' to each side of the equation.
45 + -45 + -1x = 20 + -45

Combine like terms: 45 + -45 = 0
0 + -1x = 20 + -45
-1x = 20 + -45

Combine like terms: 20 + -45 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25

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