3(x-5)-30=2(x-5)

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Solution for 3(x-5)-30=2(x-5) equation:


Simplifying
3(x + -5) + -30 = 2(x + -5)

Reorder the terms:
3(-5 + x) + -30 = 2(x + -5)
(-5 * 3 + x * 3) + -30 = 2(x + -5)
(-15 + 3x) + -30 = 2(x + -5)

Reorder the terms:
-15 + -30 + 3x = 2(x + -5)

Combine like terms: -15 + -30 = -45
-45 + 3x = 2(x + -5)

Reorder the terms:
-45 + 3x = 2(-5 + x)
-45 + 3x = (-5 * 2 + x * 2)
-45 + 3x = (-10 + 2x)

Solving
-45 + 3x = -10 + 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.
-45 + 3x + -2x = -10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-45 + 1x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-45 + 1x = -10 + 0
-45 + 1x = -10

Add '45' to each side of the equation.
-45 + 45 + 1x = -10 + 45

Combine like terms: -45 + 45 = 0
0 + 1x = -10 + 45
1x = -10 + 45

Combine like terms: -10 + 45 = 35
1x = 35

Divide each side by '1'.
x = 35

Simplifying
x = 35

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