3(5x-10)-8x=-3(x-15)+17

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Solution for 3(5x-10)-8x=-3(x-15)+17 equation: 


Simplifying
3(5x + -10) + -8x = -3(x + -15) + 17

Reorder the terms:
3(-10 + 5x) + -8x = -3(x + -15) + 17
(-10 * 3 + 5x * 3) + -8x = -3(x + -15) + 17
(-30 + 15x) + -8x = -3(x + -15) + 17

Combine like terms: 15x + -8x = 7x
-30 + 7x = -3(x + -15) + 17

Reorder the terms:
-30 + 7x = -3(-15 + x) + 17
-30 + 7x = (-15 * -3 + x * -3) + 17
-30 + 7x = (45 + -3x) + 17

Reorder the terms:
-30 + 7x = 45 + 17 + -3x

Combine like terms: 45 + 17 = 62
-30 + 7x = 62 + -3x

Solving
-30 + 7x = 62 + -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.
-30 + 7x + 3x = 62 + -3x + 3x

Combine like terms: 7x + 3x = 10x
-30 + 10x = 62 + -3x + 3x

Combine like terms: -3x + 3x = 0
-30 + 10x = 62 + 0
-30 + 10x = 62

Add '30' to each side of the equation.
-30 + 30 + 10x = 62 + 30

Combine like terms: -30 + 30 = 0
0 + 10x = 62 + 30
10x = 62 + 30

Combine like terms: 62 + 30 = 92
10x = 92

Divide each side by '10'.
x = 9.2

Simplifying
x = 9.2

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