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

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Solution for 5(x-2)+4x=10-2(-9x-8) equation:


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

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

Combine like terms: 5x + 4x = 9x
-10 + 9x = 10 + -2(-9x + -8)

Reorder the terms:
-10 + 9x = 10 + -2(-8 + -9x)
-10 + 9x = 10 + (-8 * -2 + -9x * -2)
-10 + 9x = 10 + (16 + 18x)

Combine like terms: 10 + 16 = 26
-10 + 9x = 26 + 18x

Solving
-10 + 9x = 26 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-10 + 9x + -18x = 26 + 18x + -18x

Combine like terms: 9x + -18x = -9x
-10 + -9x = 26 + 18x + -18x

Combine like terms: 18x + -18x = 0
-10 + -9x = 26 + 0
-10 + -9x = 26

Add '10' to each side of the equation.
-10 + 10 + -9x = 26 + 10

Combine like terms: -10 + 10 = 0
0 + -9x = 26 + 10
-9x = 26 + 10

Combine like terms: 26 + 10 = 36
-9x = 36

Divide each side by '-9'.
x = -4

Simplifying
x = -4

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