5(x+2)-2(3-2x)=14

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Solution for 5(x+2)-2(3-2x)=14 equation: 


Simplifying
5(x + 2) + -2(3 + -2x) = 14

Reorder the terms:
5(2 + x) + -2(3 + -2x) = 14
(2 * 5 + x * 5) + -2(3 + -2x) = 14
(10 + 5x) + -2(3 + -2x) = 14
10 + 5x + (3 * -2 + -2x * -2) = 14
10 + 5x + (-6 + 4x) = 14

Reorder the terms:
10 + -6 + 5x + 4x = 14

Combine like terms: 10 + -6 = 4
4 + 5x + 4x = 14

Combine like terms: 5x + 4x = 9x
4 + 9x = 14

Solving
4 + 9x = 14

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 9x = 14 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = 14 + -4
9x = 14 + -4

Combine like terms: 14 + -4 = 10
9x = 10

Divide each side by '9'.
x = 1.111111111

Simplifying
x = 1.111111111

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