4x+x+13=7x-3

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


Simplifying
4x + x + 13 = 7x + -3

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

Combine like terms: 4x + x = 5x
13 + 5x = 7x + -3

Reorder the terms:
13 + 5x = -3 + 7x

Solving
13 + 5x = -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 + 5x + -7x = -3 + 7x + -7x

Combine like terms: 5x + -7x = -2x
13 + -2x = -3 + 7x + -7x

Combine like terms: 7x + -7x = 0
13 + -2x = -3 + 0
13 + -2x = -3

Add '-13' to each side of the equation.
13 + -13 + -2x = -3 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = -3 + -13
-2x = -3 + -13

Combine like terms: -3 + -13 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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