(4x-7)=(2x+13)

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Solution for (4x-7)=(2x+13) equation:


Simplifying
(4x + -7) = (2x + 13)

Reorder the terms:
(-7 + 4x) = (2x + 13)

Remove parenthesis around (-7 + 4x)
-7 + 4x = (2x + 13)

Reorder the terms:
-7 + 4x = (13 + 2x)

Remove parenthesis around (13 + 2x)
-7 + 4x = 13 + 2x

Solving
-7 + 4x = 13 + 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 + 4x + -2x = 13 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-7 + 2x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 2x = 13 + 0
-7 + 2x = 13

Add '7' to each side of the equation.
-7 + 7 + 2x = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 13 + 7
2x = 13 + 7

Combine like terms: 13 + 7 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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