5(x+2)=2(x+2)+7

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Solution for 5(x+2)=2(x+2)+7 equation: 


Simplifying
5(x + 2) = 2(x + 2) + 7

Reorder the terms:
5(2 + x) = 2(x + 2) + 7
(2 * 5 + x * 5) = 2(x + 2) + 7
(10 + 5x) = 2(x + 2) + 7

Reorder the terms:
10 + 5x = 2(2 + x) + 7
10 + 5x = (2 * 2 + x * 2) + 7
10 + 5x = (4 + 2x) + 7

Reorder the terms:
10 + 5x = 4 + 7 + 2x

Combine like terms: 4 + 7 = 11
10 + 5x = 11 + 2x

Solving
10 + 5x = 11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + 5x + -2x = 11 + 2x + -2x

Combine like terms: 5x + -2x = 3x
10 + 3x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 3x = 11 + 0
10 + 3x = 11

Add '-10' to each side of the equation.
10 + -10 + 3x = 11 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 11 + -10
3x = 11 + -10

Combine like terms: 11 + -10 = 1
3x = 1

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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