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

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


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

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

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

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

Reorder the terms:
7 + -2x = -4x + 2(5 + 3x)
7 + -2x = -4x + (5 * 2 + 3x * 2)
7 + -2x = -4x + (10 + 6x)

Reorder the terms:
7 + -2x = 10 + -4x + 6x

Combine like terms: -4x + 6x = 2x
7 + -2x = 10 + 2x

Solving
7 + -2x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + -2x + -2x = 10 + 2x + -2x

Combine like terms: -2x + -2x = -4x
7 + -4x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -4x = 10 + 0
7 + -4x = 10

Add '-7' to each side of the equation.
7 + -7 + -4x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 10 + -7
-4x = 10 + -7

Combine like terms: 10 + -7 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

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