3(4x-6)=2(4x-3)-(x+8)

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Solution for 3(4x-6)=2(4x-3)-(x+8) equation:


Simplifying
3(4x + -6) = 2(4x + -3) + -1(x + 8)

Reorder the terms:
3(-6 + 4x) = 2(4x + -3) + -1(x + 8)
(-6 * 3 + 4x * 3) = 2(4x + -3) + -1(x + 8)
(-18 + 12x) = 2(4x + -3) + -1(x + 8)

Reorder the terms:
-18 + 12x = 2(-3 + 4x) + -1(x + 8)
-18 + 12x = (-3 * 2 + 4x * 2) + -1(x + 8)
-18 + 12x = (-6 + 8x) + -1(x + 8)

Reorder the terms:
-18 + 12x = -6 + 8x + -1(8 + x)
-18 + 12x = -6 + 8x + (8 * -1 + x * -1)
-18 + 12x = -6 + 8x + (-8 + -1x)

Reorder the terms:
-18 + 12x = -6 + -8 + 8x + -1x

Combine like terms: -6 + -8 = -14
-18 + 12x = -14 + 8x + -1x

Combine like terms: 8x + -1x = 7x
-18 + 12x = -14 + 7x

Solving
-18 + 12x = -14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-18 + 12x + -7x = -14 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-18 + 5x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-18 + 5x = -14 + 0
-18 + 5x = -14

Add '18' to each side of the equation.
-18 + 18 + 5x = -14 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = -14 + 18
5x = -14 + 18

Combine like terms: -14 + 18 = 4
5x = 4

Divide each side by '5'.
x = 0.8

Simplifying
x = 0.8

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