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

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


Simplifying
5x + -5(2 + -1x) = 5 + 2(4x + -9)
5x + (2 * -5 + -1x * -5) = 5 + 2(4x + -9)
5x + (-10 + 5x) = 5 + 2(4x + -9)

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

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

Reorder the terms:
-10 + 10x = 5 + 2(-9 + 4x)
-10 + 10x = 5 + (-9 * 2 + 4x * 2)
-10 + 10x = 5 + (-18 + 8x)

Combine like terms: 5 + -18 = -13
-10 + 10x = -13 + 8x

Solving
-10 + 10x = -13 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-10 + 10x + -8x = -13 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-10 + 2x = -13 + 8x + -8x

Combine like terms: 8x + -8x = 0
-10 + 2x = -13 + 0
-10 + 2x = -13

Add '10' to each side of the equation.
-10 + 10 + 2x = -13 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = -13 + 10
2x = -13 + 10

Combine like terms: -13 + 10 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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