5(x+2)+2x=4x+31

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Solution for 5(x+2)+2x=4x+31 equation:


Simplifying
5(x + 2) + 2x = 4x + 31

Reorder the terms:
5(2 + x) + 2x = 4x + 31
(2 * 5 + x * 5) + 2x = 4x + 31
(10 + 5x) + 2x = 4x + 31

Combine like terms: 5x + 2x = 7x
10 + 7x = 4x + 31

Reorder the terms:
10 + 7x = 31 + 4x

Solving
10 + 7x = 31 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 7x + -4x = 31 + 4x + -4x

Combine like terms: 7x + -4x = 3x
10 + 3x = 31 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + 3x = 31 + 0
10 + 3x = 31

Add '-10' to each side of the equation.
10 + -10 + 3x = 31 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 31 + -10
3x = 31 + -10

Combine like terms: 31 + -10 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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