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

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


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

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

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

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

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

Solving
-7 + -2x = -3 + 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 = -3 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-7 + -4x = -3 + 0
-7 + -4x = -3

Add '7' to each side of the equation.
-7 + 7 + -4x = -3 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = -3 + 7
-4x = -3 + 7

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

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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