3x+13=7x-3

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


Simplifying
3x + 13 = 7x + -3

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

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

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

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

Combine like terms: 7x + -7x = 0
13 + -4x = -3 + 0
13 + -4x = -3

Add '-13' to each side of the equation.
13 + -13 + -4x = -3 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = -3 + -13
-4x = -3 + -13

Combine like terms: -3 + -13 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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