5x-7=4x+13

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Solution for 5x-7=4x+13 equation:


Simplifying
5x + -7 = 4x + 13

Reorder the terms:
-7 + 5x = 4x + 13

Reorder the terms:
-7 + 5x = 13 + 4x

Solving
-7 + 5x = 13 + 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.
-7 + 5x + -4x = 13 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-7 + 1x = 13 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 1x = 13 + 0
-7 + 1x = 13

Add '7' to each side of the equation.
-7 + 7 + 1x = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 13 + 7
1x = 13 + 7

Combine like terms: 13 + 7 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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