3x-13=4x+7

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Solution for 3x-13=4x+7 equation:


Simplifying
3x + -13 = 4x + 7

Reorder the terms:
-13 + 3x = 4x + 7

Reorder the terms:
-13 + 3x = 7 + 4x

Solving
-13 + 3x = 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.
-13 + 3x + -4x = 7 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-13 + -1x = 7 + 4x + -4x

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

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

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

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

Divide each side by '-1'.
x = -20

Simplifying
x = -20

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