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

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


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

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

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

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

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

Combine like terms: -5 + 10 = 5
7 + -2x = 5 + 6x

Solving
7 + -2x = 5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
7 + -2x + -6x = 5 + 6x + -6x

Combine like terms: -2x + -6x = -8x
7 + -8x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -8x = 5 + 0
7 + -8x = 5

Add '-7' to each side of the equation.
7 + -7 + -8x = 5 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = 5 + -7
-8x = 5 + -7

Combine like terms: 5 + -7 = -2
-8x = -2

Divide each side by '-8'.
x = 0.25

Simplifying
x = 0.25

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