4x-13=7x-7

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


Simplifying
4x + -13 = 7x + -7

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

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

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

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-13 + 4x + -7x = -7 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-13 + -3x = -7 + 0
-13 + -3x = -7

Add '13' to each side of the equation.
-13 + 13 + -3x = -7 + 13

Combine like terms: -13 + 13 = 0
0 + -3x = -7 + 13
-3x = -7 + 13

Combine like terms: -7 + 13 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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