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

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


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

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

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

Combine like terms: 4x + -3x = 1x
-5 + 1x = 2x + -7

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

Solving
-5 + 1x = -7 + 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.
-5 + 1x + -2x = -7 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-5 + -1x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + -1x = -7 + 0
-5 + -1x = -7

Add '5' to each side of the equation.
-5 + 5 + -1x = -7 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -7 + 5
-1x = -7 + 5

Combine like terms: -7 + 5 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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