3(6x-8)+10=5(x-2)-(-4+3x)

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Solution for 3(6x-8)+10=5(x-2)-(-4+3x) equation:


Simplifying
3(6x + -8) + 10 = 5(x + -2) + -1(-4 + 3x)

Reorder the terms:
3(-8 + 6x) + 10 = 5(x + -2) + -1(-4 + 3x)
(-8 * 3 + 6x * 3) + 10 = 5(x + -2) + -1(-4 + 3x)
(-24 + 18x) + 10 = 5(x + -2) + -1(-4 + 3x)

Reorder the terms:
-24 + 10 + 18x = 5(x + -2) + -1(-4 + 3x)

Combine like terms: -24 + 10 = -14
-14 + 18x = 5(x + -2) + -1(-4 + 3x)

Reorder the terms:
-14 + 18x = 5(-2 + x) + -1(-4 + 3x)
-14 + 18x = (-2 * 5 + x * 5) + -1(-4 + 3x)
-14 + 18x = (-10 + 5x) + -1(-4 + 3x)
-14 + 18x = -10 + 5x + (-4 * -1 + 3x * -1)
-14 + 18x = -10 + 5x + (4 + -3x)

Reorder the terms:
-14 + 18x = -10 + 4 + 5x + -3x

Combine like terms: -10 + 4 = -6
-14 + 18x = -6 + 5x + -3x

Combine like terms: 5x + -3x = 2x
-14 + 18x = -6 + 2x

Solving
-14 + 18x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-14 + 18x + -2x = -6 + 2x + -2x

Combine like terms: 18x + -2x = 16x
-14 + 16x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 16x = -6 + 0
-14 + 16x = -6

Add '14' to each side of the equation.
-14 + 14 + 16x = -6 + 14

Combine like terms: -14 + 14 = 0
0 + 16x = -6 + 14
16x = -6 + 14

Combine like terms: -6 + 14 = 8
16x = 8

Divide each side by '16'.
x = 0.5

Simplifying
x = 0.5

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