3(x-5)-20=8x-10

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Solution for 3(x-5)-20=8x-10 equation: 


Simplifying
3(x + -5) + -20 = 8x + -10

Reorder the terms:
3(-5 + x) + -20 = 8x + -10
(-5 * 3 + x * 3) + -20 = 8x + -10
(-15 + 3x) + -20 = 8x + -10

Reorder the terms:
-15 + -20 + 3x = 8x + -10

Combine like terms: -15 + -20 = -35
-35 + 3x = 8x + -10

Reorder the terms:
-35 + 3x = -10 + 8x

Solving
-35 + 3x = -10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-35 + 3x + -8x = -10 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-35 + -5x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-35 + -5x = -10 + 0
-35 + -5x = -10

Add '35' to each side of the equation.
-35 + 35 + -5x = -10 + 35

Combine like terms: -35 + 35 = 0
0 + -5x = -10 + 35
-5x = -10 + 35

Combine like terms: -10 + 35 = 25
-5x = 25

Divide each side by '-5'.
x = -5

Simplifying
x = -5

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