-(3x-4x+5)+7x=6x-2(3-2x)

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Solution for -(3x-4x+5)+7x=6x-2(3-2x) equation:


Simplifying
-1(3x + -4x + 5) + 7x = 6x + -2(3 + -2x)

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

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

Combine like terms: 1x + 7x = 8x
-5 + 8x = 6x + -2(3 + -2x)
-5 + 8x = 6x + (3 * -2 + -2x * -2)
-5 + 8x = 6x + (-6 + 4x)

Reorder the terms:
-5 + 8x = -6 + 6x + 4x

Combine like terms: 6x + 4x = 10x
-5 + 8x = -6 + 10x

Solving
-5 + 8x = -6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-5 + 8x + -10x = -6 + 10x + -10x

Combine like terms: 8x + -10x = -2x
-5 + -2x = -6 + 10x + -10x

Combine like terms: 10x + -10x = 0
-5 + -2x = -6 + 0
-5 + -2x = -6

Add '5' to each side of the equation.
-5 + 5 + -2x = -6 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = -6 + 5
-2x = -6 + 5

Combine like terms: -6 + 5 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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