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

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


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

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

Combine like terms: 4 + -8 = -4
-4 + -2x = 6x + -5(-1x + 3)

Reorder the terms:
-4 + -2x = 6x + -5(3 + -1x)
-4 + -2x = 6x + (3 * -5 + -1x * -5)
-4 + -2x = 6x + (-15 + 5x)

Reorder the terms:
-4 + -2x = -15 + 6x + 5x

Combine like terms: 6x + 5x = 11x
-4 + -2x = -15 + 11x

Solving
-4 + -2x = -15 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-4 + -2x + -11x = -15 + 11x + -11x

Combine like terms: -2x + -11x = -13x
-4 + -13x = -15 + 11x + -11x

Combine like terms: 11x + -11x = 0
-4 + -13x = -15 + 0
-4 + -13x = -15

Add '4' to each side of the equation.
-4 + 4 + -13x = -15 + 4

Combine like terms: -4 + 4 = 0
0 + -13x = -15 + 4
-13x = -15 + 4

Combine like terms: -15 + 4 = -11
-13x = -11

Divide each side by '-13'.
x = 0.8461538462

Simplifying
x = 0.8461538462

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