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

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


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

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

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

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

Combine like terms: -3 + -5 = -8
-8 + 3x + -6x = 2(2x + 3)

Combine like terms: 3x + -6x = -3x
-8 + -3x = 2(2x + 3)

Reorder the terms:
-8 + -3x = 2(3 + 2x)
-8 + -3x = (3 * 2 + 2x * 2)
-8 + -3x = (6 + 4x)

Solving
-8 + -3x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-8 + -3x + -4x = 6 + 4x + -4x

Combine like terms: -3x + -4x = -7x
-8 + -7x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + -7x = 6 + 0
-8 + -7x = 6

Add '8' to each side of the equation.
-8 + 8 + -7x = 6 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 6 + 8
-7x = 6 + 8

Combine like terms: 6 + 8 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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