3(x-10)=2(x-10)+-45

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Solution for 3(x-10)=2(x-10)+-45 equation: 


Simplifying
3(x + -10) = 2(x + -10) + -45

Reorder the terms:
3(-10 + x) = 2(x + -10) + -45
(-10 * 3 + x * 3) = 2(x + -10) + -45
(-30 + 3x) = 2(x + -10) + -45

Reorder the terms:
-30 + 3x = 2(-10 + x) + -45
-30 + 3x = (-10 * 2 + x * 2) + -45
-30 + 3x = (-20 + 2x) + -45

Reorder the terms:
-30 + 3x = -20 + -45 + 2x

Combine like terms: -20 + -45 = -65
-30 + 3x = -65 + 2x

Solving
-30 + 3x = -65 + 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.
-30 + 3x + -2x = -65 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-30 + 1x = -65 + 2x + -2x

Combine like terms: 2x + -2x = 0
-30 + 1x = -65 + 0
-30 + 1x = -65

Add '30' to each side of the equation.
-30 + 30 + 1x = -65 + 30

Combine like terms: -30 + 30 = 0
0 + 1x = -65 + 30
1x = -65 + 30

Combine like terms: -65 + 30 = -35
1x = -35

Divide each side by '1'.
x = -35

Simplifying
x = -35

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