6(3-x)-5(2x-4)=4(-3x)+14

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Solution for 6(3-x)-5(2x-4)=4(-3x)+14 equation:


Simplifying
6(3 + -1x) + -5(2x + -4) = 4(-3x) + 14
(3 * 6 + -1x * 6) + -5(2x + -4) = 4(-3x) + 14
(18 + -6x) + -5(2x + -4) = 4(-3x) + 14

Reorder the terms:
18 + -6x + -5(-4 + 2x) = 4(-3x) + 14
18 + -6x + (-4 * -5 + 2x * -5) = 4(-3x) + 14
18 + -6x + (20 + -10x) = 4(-3x) + 14

Reorder the terms:
18 + 20 + -6x + -10x = 4(-3x) + 14

Combine like terms: 18 + 20 = 38
38 + -6x + -10x = 4(-3x) + 14

Combine like terms: -6x + -10x = -16x
38 + -16x = 4(-3x) + 14

Remove parenthesis around (-3x)
38 + -16x = 4 * -3x + 14

Multiply 4 * -3
38 + -16x = -12x + 14

Reorder the terms:
38 + -16x = 14 + -12x

Solving
38 + -16x = 14 + -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.
38 + -16x + 12x = 14 + -12x + 12x

Combine like terms: -16x + 12x = -4x
38 + -4x = 14 + -12x + 12x

Combine like terms: -12x + 12x = 0
38 + -4x = 14 + 0
38 + -4x = 14

Add '-38' to each side of the equation.
38 + -38 + -4x = 14 + -38

Combine like terms: 38 + -38 = 0
0 + -4x = 14 + -38
-4x = 14 + -38

Combine like terms: 14 + -38 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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