5x-2=4x-7

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Solution for 5x-2=4x-7 equation:


Simplifying
5x + -2 = 4x + -7

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

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

Solving
-2 + 5x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2 + 5x + -4x = -7 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-2 + 1x = -7 + 0
-2 + 1x = -7

Add '2' to each side of the equation.
-2 + 2 + 1x = -7 + 2

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

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

Divide each side by '1'.
x = -5

Simplifying
x = -5

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