4(2x+10)=9(4x-8)

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Solution for 4(2x+10)=9(4x-8) equation:


Simplifying
4(2x + 10) = 9(4x + -8)

Reorder the terms:
4(10 + 2x) = 9(4x + -8)
(10 * 4 + 2x * 4) = 9(4x + -8)
(40 + 8x) = 9(4x + -8)

Reorder the terms:
40 + 8x = 9(-8 + 4x)
40 + 8x = (-8 * 9 + 4x * 9)
40 + 8x = (-72 + 36x)

Solving
40 + 8x = -72 + 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.
40 + 8x + -36x = -72 + 36x + -36x

Combine like terms: 8x + -36x = -28x
40 + -28x = -72 + 36x + -36x

Combine like terms: 36x + -36x = 0
40 + -28x = -72 + 0
40 + -28x = -72

Add '-40' to each side of the equation.
40 + -40 + -28x = -72 + -40

Combine like terms: 40 + -40 = 0
0 + -28x = -72 + -40
-28x = -72 + -40

Combine like terms: -72 + -40 = -112
-28x = -112

Divide each side by '-28'.
x = 4

Simplifying
x = 4

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