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

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


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

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

Reorder the terms:
3 + -5 + 2x + 4x = 5x + -2x + 7

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

Combine like terms: 2x + 4x = 6x
-2 + 6x = 5x + -2x + 7

Reorder the terms:
-2 + 6x = 7 + 5x + -2x

Combine like terms: 5x + -2x = 3x
-2 + 6x = 7 + 3x

Solving
-2 + 6x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 6x + -3x = 7 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-2 + 3x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 3x = 7 + 0
-2 + 3x = 7

Add '2' to each side of the equation.
-2 + 2 + 3x = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 7 + 2
3x = 7 + 2

Combine like terms: 7 + 2 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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