3(2x-1)+7=-(-4x-5)

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Solution for 3(2x-1)+7=-(-4x-5) equation:


Simplifying
3(2x + -1) + 7 = -1(-4x + -5)

Reorder the terms:
3(-1 + 2x) + 7 = -1(-4x + -5)
(-1 * 3 + 2x * 3) + 7 = -1(-4x + -5)
(-3 + 6x) + 7 = -1(-4x + -5)

Reorder the terms:
-3 + 7 + 6x = -1(-4x + -5)

Combine like terms: -3 + 7 = 4
4 + 6x = -1(-4x + -5)

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

Solving
4 + 6x = 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.
4 + 6x + -4x = 5 + 4x + -4x

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

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

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

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

Combine like terms: 5 + -4 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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