6(x+5)-3x=5x+125

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Solution for 6(x+5)-3x=5x+125 equation:


Simplifying
6(x + 5) + -3x = 5x + 125

Reorder the terms:
6(5 + x) + -3x = 5x + 125
(5 * 6 + x * 6) + -3x = 5x + 125
(30 + 6x) + -3x = 5x + 125

Combine like terms: 6x + -3x = 3x
30 + 3x = 5x + 125

Reorder the terms:
30 + 3x = 125 + 5x

Solving
30 + 3x = 125 + 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.
30 + 3x + -5x = 125 + 5x + -5x

Combine like terms: 3x + -5x = -2x
30 + -2x = 125 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + -2x = 125 + 0
30 + -2x = 125

Add '-30' to each side of the equation.
30 + -30 + -2x = 125 + -30

Combine like terms: 30 + -30 = 0
0 + -2x = 125 + -30
-2x = 125 + -30

Combine like terms: 125 + -30 = 95
-2x = 95

Divide each side by '-2'.
x = -47.5

Simplifying
x = -47.5

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