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

Reorder the terms:
-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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