6(x-5)=2x-(3-x)

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Solution for 6(x-5)=2x-(3-x) equation:


Simplifying
6(x + -5) = 2x + -1(3 + -1x)

Reorder the terms:
6(-5 + x) = 2x + -1(3 + -1x)
(-5 * 6 + x * 6) = 2x + -1(3 + -1x)
(-30 + 6x) = 2x + -1(3 + -1x)
-30 + 6x = 2x + (3 * -1 + -1x * -1)
-30 + 6x = 2x + (-3 + 1x)

Reorder the terms:
-30 + 6x = -3 + 2x + 1x

Combine like terms: 2x + 1x = 3x
-30 + 6x = -3 + 3x

Solving
-30 + 6x = -3 + 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 + 6x + -3x = -3 + 3x + -3x

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

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

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

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

Combine like terms: -3 + 30 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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