10x-(6x-8)=3(2x+3)

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Solution for 10x-(6x-8)=3(2x+3) equation:


Simplifying
10x + -1(6x + -8) = 3(2x + 3)

Reorder the terms:
10x + -1(-8 + 6x) = 3(2x + 3)
10x + (-8 * -1 + 6x * -1) = 3(2x + 3)
10x + (8 + -6x) = 3(2x + 3)

Reorder the terms:
8 + 10x + -6x = 3(2x + 3)

Combine like terms: 10x + -6x = 4x
8 + 4x = 3(2x + 3)

Reorder the terms:
8 + 4x = 3(3 + 2x)
8 + 4x = (3 * 3 + 2x * 3)
8 + 4x = (9 + 6x)

Solving
8 + 4x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 4x + -6x = 9 + 6x + -6x

Combine like terms: 4x + -6x = -2x
8 + -2x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -2x = 9 + 0
8 + -2x = 9

Add '-8' to each side of the equation.
8 + -8 + -2x = 9 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 9 + -8
-2x = 9 + -8

Combine like terms: 9 + -8 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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