3x+5-8x=3(x-15)+2

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Solution for 3x+5-8x=3(x-15)+2 equation:


Simplifying
3x + 5 + -8x = 3(x + -15) + 2

Reorder the terms:
5 + 3x + -8x = 3(x + -15) + 2

Combine like terms: 3x + -8x = -5x
5 + -5x = 3(x + -15) + 2

Reorder the terms:
5 + -5x = 3(-15 + x) + 2
5 + -5x = (-15 * 3 + x * 3) + 2
5 + -5x = (-45 + 3x) + 2

Reorder the terms:
5 + -5x = -45 + 2 + 3x

Combine like terms: -45 + 2 = -43
5 + -5x = -43 + 3x

Solving
5 + -5x = -43 + 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.
5 + -5x + -3x = -43 + 3x + -3x

Combine like terms: -5x + -3x = -8x
5 + -8x = -43 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -8x = -43 + 0
5 + -8x = -43

Add '-5' to each side of the equation.
5 + -5 + -8x = -43 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = -43 + -5
-8x = -43 + -5

Combine like terms: -43 + -5 = -48
-8x = -48

Divide each side by '-8'.
x = 6

Simplifying
x = 6

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