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

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


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

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

Reorder the terms:
-10 + 9x + -8x = 2x + -3x

Combine like terms: 9x + -8x = 1x
-10 + 1x = 2x + -3x

Combine like terms: 2x + -3x = -1x
-10 + 1x = -1x

Solving
-10 + 1x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-10 + 1x + x = -1x + x

Combine like terms: 1x + x = 2x
-10 + 2x = -1x + x

Combine like terms: -1x + x = 0
-10 + 2x = 0

Add '10' to each side of the equation.
-10 + 10 + 2x = 0 + 10

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

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

Divide each side by '2'.
x = 5

Simplifying
x = 5

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