4x-7=7x-13

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


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

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

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

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

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

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

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

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

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

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

Simplifying
x = 2

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