7x+13+3x+11=3x+17

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Solution for 7x+13+3x+11=3x+17 equation:


Simplifying
7x + 13 + 3x + 11 = 3x + 17

Reorder the terms:
13 + 11 + 7x + 3x = 3x + 17

Combine like terms: 13 + 11 = 24
24 + 7x + 3x = 3x + 17

Combine like terms: 7x + 3x = 10x
24 + 10x = 3x + 17

Reorder the terms:
24 + 10x = 17 + 3x

Solving
24 + 10x = 17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
24 + 10x + -3x = 17 + 3x + -3x

Combine like terms: 10x + -3x = 7x
24 + 7x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + 7x = 17 + 0
24 + 7x = 17

Add '-24' to each side of the equation.
24 + -24 + 7x = 17 + -24

Combine like terms: 24 + -24 = 0
0 + 7x = 17 + -24
7x = 17 + -24

Combine like terms: 17 + -24 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

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