5(x+2)-(3x+4)=20

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Solution for 5(x+2)-(3x+4)=20 equation:


Simplifying
5(x + 2) + -1(3x + 4) = 20

Reorder the terms:
5(2 + x) + -1(3x + 4) = 20
(2 * 5 + x * 5) + -1(3x + 4) = 20
(10 + 5x) + -1(3x + 4) = 20

Reorder the terms:
10 + 5x + -1(4 + 3x) = 20
10 + 5x + (4 * -1 + 3x * -1) = 20
10 + 5x + (-4 + -3x) = 20

Reorder the terms:
10 + -4 + 5x + -3x = 20

Combine like terms: 10 + -4 = 6
6 + 5x + -3x = 20

Combine like terms: 5x + -3x = 2x
6 + 2x = 20

Solving
6 + 2x = 20

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 2x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 20 + -6
2x = 20 + -6

Combine like terms: 20 + -6 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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