3(x-5)=8x-10

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


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

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

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

Solving
-15 + 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.
-15 + 3x + -8x = -10 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-15 + -5x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-15 + -5x = -10 + 0
-15 + -5x = -10

Add '15' to each side of the equation.
-15 + 15 + -5x = -10 + 15

Combine like terms: -15 + 15 = 0
0 + -5x = -10 + 15
-5x = -10 + 15

Combine like terms: -10 + 15 = 5
-5x = 5

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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