5(3x-9)-8=5(x-2)+17

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Solution for 5(3x-9)-8=5(x-2)+17 equation:


Simplifying
5(3x + -9) + -8 = 5(x + -2) + 17

Reorder the terms:
5(-9 + 3x) + -8 = 5(x + -2) + 17
(-9 * 5 + 3x * 5) + -8 = 5(x + -2) + 17
(-45 + 15x) + -8 = 5(x + -2) + 17

Reorder the terms:
-45 + -8 + 15x = 5(x + -2) + 17

Combine like terms: -45 + -8 = -53
-53 + 15x = 5(x + -2) + 17

Reorder the terms:
-53 + 15x = 5(-2 + x) + 17
-53 + 15x = (-2 * 5 + x * 5) + 17
-53 + 15x = (-10 + 5x) + 17

Reorder the terms:
-53 + 15x = -10 + 17 + 5x

Combine like terms: -10 + 17 = 7
-53 + 15x = 7 + 5x

Solving
-53 + 15x = 7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-53 + 15x + -5x = 7 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-53 + 10x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-53 + 10x = 7 + 0
-53 + 10x = 7

Add '53' to each side of the equation.
-53 + 53 + 10x = 7 + 53

Combine like terms: -53 + 53 = 0
0 + 10x = 7 + 53
10x = 7 + 53

Combine like terms: 7 + 53 = 60
10x = 60

Divide each side by '10'.
x = 6

Simplifying
x = 6

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