3(x-4)+5x-8=2x-10+x

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Solution for 3(x-4)+5x-8=2x-10+x equation:


Simplifying
3(x + -4) + 5x + -8 = 2x + -10 + x

Reorder the terms:
3(-4 + x) + 5x + -8 = 2x + -10 + x
(-4 * 3 + x * 3) + 5x + -8 = 2x + -10 + x
(-12 + 3x) + 5x + -8 = 2x + -10 + x

Reorder the terms:
-12 + -8 + 3x + 5x = 2x + -10 + x

Combine like terms: -12 + -8 = -20
-20 + 3x + 5x = 2x + -10 + x

Combine like terms: 3x + 5x = 8x
-20 + 8x = 2x + -10 + x

Reorder the terms:
-20 + 8x = -10 + 2x + x

Combine like terms: 2x + x = 3x
-20 + 8x = -10 + 3x

Solving
-20 + 8x = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-20 + 8x + -3x = -10 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-20 + 5x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 5x = -10 + 0
-20 + 5x = -10

Add '20' to each side of the equation.
-20 + 20 + 5x = -10 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = -10 + 20
5x = -10 + 20

Combine like terms: -10 + 20 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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