3(x-1)-10=2(x-2)

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Solution for 3(x-1)-10=2(x-2) equation:


Simplifying
3(x + -1) + -10 = 2(x + -2)

Reorder the terms:
3(-1 + x) + -10 = 2(x + -2)
(-1 * 3 + x * 3) + -10 = 2(x + -2)
(-3 + 3x) + -10 = 2(x + -2)

Reorder the terms:
-3 + -10 + 3x = 2(x + -2)

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

Reorder the terms:
-13 + 3x = 2(-2 + x)
-13 + 3x = (-2 * 2 + x * 2)
-13 + 3x = (-4 + 2x)

Solving
-13 + 3x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-13 + 3x + -2x = -4 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-13 + 1x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + 1x = -4 + 0
-13 + 1x = -4

Add '13' to each side of the equation.
-13 + 13 + 1x = -4 + 13

Combine like terms: -13 + 13 = 0
0 + 1x = -4 + 13
1x = -4 + 13

Combine like terms: -4 + 13 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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