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

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


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

Reorder the terms:
6(-5 + x) + -3x = x + 10
(-5 * 6 + x * 6) + -3x = x + 10
(-30 + 6x) + -3x = x + 10

Combine like terms: 6x + -3x = 3x
-30 + 3x = x + 10

Reorder the terms:
-30 + 3x = 10 + x

Solving
-30 + 3x = 10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-30 + 3x + -1x = 10 + x + -1x

Combine like terms: 3x + -1x = 2x
-30 + 2x = 10 + x + -1x

Combine like terms: x + -1x = 0
-30 + 2x = 10 + 0
-30 + 2x = 10

Add '30' to each side of the equation.
-30 + 30 + 2x = 10 + 30

Combine like terms: -30 + 30 = 0
0 + 2x = 10 + 30
2x = 10 + 30

Combine like terms: 10 + 30 = 40
2x = 40

Divide each side by '2'.
x = 20

Simplifying
x = 20

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