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

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


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

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

Reorder the terms:
-18 + 4x + -6x = -1(4x + -5)

Combine like terms: 4x + -6x = -2x
-18 + -2x = -1(4x + -5)

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

Solving
-18 + -2x = 5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-18 + -2x + 4x = 5 + -4x + 4x

Combine like terms: -2x + 4x = 2x
-18 + 2x = 5 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 2x = 5 + 0
-18 + 2x = 5

Add '18' to each side of the equation.
-18 + 18 + 2x = 5 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 5 + 18
2x = 5 + 18

Combine like terms: 5 + 18 = 23
2x = 23

Divide each side by '2'.
x = 11.5

Simplifying
x = 11.5

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