3x+-8(2x+3)=-6(2x+5)

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Solution for 3x+-8(2x+3)=-6(2x+5) equation:


Simplifying
3x + -8(2x + 3) = -6(2x + 5)

Reorder the terms:
3x + -8(3 + 2x) = -6(2x + 5)
3x + (3 * -8 + 2x * -8) = -6(2x + 5)
3x + (-24 + -16x) = -6(2x + 5)

Reorder the terms:
-24 + 3x + -16x = -6(2x + 5)

Combine like terms: 3x + -16x = -13x
-24 + -13x = -6(2x + 5)

Reorder the terms:
-24 + -13x = -6(5 + 2x)
-24 + -13x = (5 * -6 + 2x * -6)
-24 + -13x = (-30 + -12x)

Solving
-24 + -13x = -30 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-24 + -13x + 12x = -30 + -12x + 12x

Combine like terms: -13x + 12x = -1x
-24 + -1x = -30 + -12x + 12x

Combine like terms: -12x + 12x = 0
-24 + -1x = -30 + 0
-24 + -1x = -30

Add '24' to each side of the equation.
-24 + 24 + -1x = -30 + 24

Combine like terms: -24 + 24 = 0
0 + -1x = -30 + 24
-1x = -30 + 24

Combine like terms: -30 + 24 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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