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

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Solution for 3(x-6)-x=-3+5(2x+1) equation:


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

Reorder the terms:
3(-6 + x) + -1x = -3 + 5(2x + 1)
(-6 * 3 + x * 3) + -1x = -3 + 5(2x + 1)
(-18 + 3x) + -1x = -3 + 5(2x + 1)

Combine like terms: 3x + -1x = 2x
-18 + 2x = -3 + 5(2x + 1)

Reorder the terms:
-18 + 2x = -3 + 5(1 + 2x)
-18 + 2x = -3 + (1 * 5 + 2x * 5)
-18 + 2x = -3 + (5 + 10x)

Combine like terms: -3 + 5 = 2
-18 + 2x = 2 + 10x

Solving
-18 + 2x = 2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-18 + 2x + -10x = 2 + 10x + -10x

Combine like terms: 2x + -10x = -8x
-18 + -8x = 2 + 10x + -10x

Combine like terms: 10x + -10x = 0
-18 + -8x = 2 + 0
-18 + -8x = 2

Add '18' to each side of the equation.
-18 + 18 + -8x = 2 + 18

Combine like terms: -18 + 18 = 0
0 + -8x = 2 + 18
-8x = 2 + 18

Combine like terms: 2 + 18 = 20
-8x = 20

Divide each side by '-8'.
x = -2.5

Simplifying
x = -2.5

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