6(x+3)-75=5(x-10)

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Solution for 6(x+3)-75=5(x-10) equation: 


Simplifying
6(x + 3) + -75 = 5(x + -10)

Reorder the terms:
6(3 + x) + -75 = 5(x + -10)
(3 * 6 + x * 6) + -75 = 5(x + -10)
(18 + 6x) + -75 = 5(x + -10)

Reorder the terms:
18 + -75 + 6x = 5(x + -10)

Combine like terms: 18 + -75 = -57
-57 + 6x = 5(x + -10)

Reorder the terms:
-57 + 6x = 5(-10 + x)
-57 + 6x = (-10 * 5 + x * 5)
-57 + 6x = (-50 + 5x)

Solving
-57 + 6x = -50 + 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.
-57 + 6x + -5x = -50 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-57 + 1x = -50 + 5x + -5x

Combine like terms: 5x + -5x = 0
-57 + 1x = -50 + 0
-57 + 1x = -50

Add '57' to each side of the equation.
-57 + 57 + 1x = -50 + 57

Combine like terms: -57 + 57 = 0
0 + 1x = -50 + 57
1x = -50 + 57

Combine like terms: -50 + 57 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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