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

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


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

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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: -7 + -7 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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