2(5x-2)-(3x-8)=9x

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Solution for 2(5x-2)-(3x-8)=9x equation:


Simplifying
2(5x + -2) + -1(3x + -8) = 9x

Reorder the terms:
2(-2 + 5x) + -1(3x + -8) = 9x
(-2 * 2 + 5x * 2) + -1(3x + -8) = 9x
(-4 + 10x) + -1(3x + -8) = 9x

Reorder the terms:
-4 + 10x + -1(-8 + 3x) = 9x
-4 + 10x + (-8 * -1 + 3x * -1) = 9x
-4 + 10x + (8 + -3x) = 9x

Reorder the terms:
-4 + 8 + 10x + -3x = 9x

Combine like terms: -4 + 8 = 4
4 + 10x + -3x = 9x

Combine like terms: 10x + -3x = 7x
4 + 7x = 9x

Solving
4 + 7x = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
4 + 7x + -9x = 9x + -9x

Combine like terms: 7x + -9x = -2x
4 + -2x = 9x + -9x

Combine like terms: 9x + -9x = 0
4 + -2x = 0

Add '-4' to each side of the equation.
4 + -4 + -2x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = 0 + -4
-2x = 0 + -4

Combine like terms: 0 + -4 = -4
-2x = -4

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

Simplifying
x = 2

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