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

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


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

Reorder the terms:
2(-3 + x) + -5(x + -2) = 8
(-3 * 2 + x * 2) + -5(x + -2) = 8
(-6 + 2x) + -5(x + -2) = 8

Reorder the terms:
-6 + 2x + -5(-2 + x) = 8
-6 + 2x + (-2 * -5 + x * -5) = 8
-6 + 2x + (10 + -5x) = 8

Reorder the terms:
-6 + 10 + 2x + -5x = 8

Combine like terms: -6 + 10 = 4
4 + 2x + -5x = 8

Combine like terms: 2x + -5x = -3x
4 + -3x = 8

Solving
4 + -3x = 8

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 8 + -4
-3x = 8 + -4

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

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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