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

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


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

Reorder the terms:
3(-2 + x) + -5(2x + -3) = x
(-2 * 3 + x * 3) + -5(2x + -3) = x
(-6 + 3x) + -5(2x + -3) = x

Reorder the terms:
-6 + 3x + -5(-3 + 2x) = x
-6 + 3x + (-3 * -5 + 2x * -5) = x
-6 + 3x + (15 + -10x) = x

Reorder the terms:
-6 + 15 + 3x + -10x = x

Combine like terms: -6 + 15 = 9
9 + 3x + -10x = x

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

Solving
9 + -7x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
9 + -7x + -1x = x + -1x

Combine like terms: -7x + -1x = -8x
9 + -8x = x + -1x

Combine like terms: x + -1x = 0
9 + -8x = 0

Add '-9' to each side of the equation.
9 + -9 + -8x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = 0 + -9
-8x = 0 + -9

Combine like terms: 0 + -9 = -9
-8x = -9

Divide each side by '-8'.
x = 1.125

Simplifying
x = 1.125

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