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

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


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

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

Remove parenthesis around (-3 + x)
-3 + x + -1(-2x + 5) = 2x + -7 + -3x

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

Reorder the terms:
-3 + -5 + x + 2x = 2x + -7 + -3x

Combine like terms: -3 + -5 = -8
-8 + x + 2x = 2x + -7 + -3x

Combine like terms: x + 2x = 3x
-8 + 3x = 2x + -7 + -3x

Reorder the terms:
-8 + 3x = -7 + 2x + -3x

Combine like terms: 2x + -3x = -1x
-8 + 3x = -7 + -1x

Solving
-8 + 3x = -7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8 + 3x + x = -7 + -1x + x

Combine like terms: 3x + x = 4x
-8 + 4x = -7 + -1x + x

Combine like terms: -1x + x = 0
-8 + 4x = -7 + 0
-8 + 4x = -7

Add '8' to each side of the equation.
-8 + 8 + 4x = -7 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = -7 + 8
4x = -7 + 8

Combine like terms: -7 + 8 = 1
4x = 1

Divide each side by '4'.
x = 0.25

Simplifying
x = 0.25

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