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

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


Simplifying
6(2 + -1x) + 4x = -5(x + -3)
(2 * 6 + -1x * 6) + 4x = -5(x + -3)
(12 + -6x) + 4x = -5(x + -3)

Combine like terms: -6x + 4x = -2x
12 + -2x = -5(x + -3)

Reorder the terms:
12 + -2x = -5(-3 + x)
12 + -2x = (-3 * -5 + x * -5)
12 + -2x = (15 + -5x)

Solving
12 + -2x = 15 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
12 + -2x + 5x = 15 + -5x + 5x

Combine like terms: -2x + 5x = 3x
12 + 3x = 15 + -5x + 5x

Combine like terms: -5x + 5x = 0
12 + 3x = 15 + 0
12 + 3x = 15

Add '-12' to each side of the equation.
12 + -12 + 3x = 15 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 15 + -12
3x = 15 + -12

Combine like terms: 15 + -12 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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