5(x+4)-2(x+2)=1

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Solution for 5(x+4)-2(x+2)=1 equation: 


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

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

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

Reorder the terms:
20 + -4 + 5x + -2x = 1

Combine like terms: 20 + -4 = 16
16 + 5x + -2x = 1

Combine like terms: 5x + -2x = 3x
16 + 3x = 1

Solving
16 + 3x = 1

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 3x = 1 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = 1 + -16
3x = 1 + -16

Combine like terms: 1 + -16 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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