3(x+4)+5(x+2)=18-2(6-2x)

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Solution for 3(x+4)+5(x+2)=18-2(6-2x) equation:


Simplifying
3(x + 4) + 5(x + 2) = 18 + -2(6 + -2x)

Reorder the terms:
3(4 + x) + 5(x + 2) = 18 + -2(6 + -2x)
(4 * 3 + x * 3) + 5(x + 2) = 18 + -2(6 + -2x)
(12 + 3x) + 5(x + 2) = 18 + -2(6 + -2x)

Reorder the terms:
12 + 3x + 5(2 + x) = 18 + -2(6 + -2x)
12 + 3x + (2 * 5 + x * 5) = 18 + -2(6 + -2x)
12 + 3x + (10 + 5x) = 18 + -2(6 + -2x)

Reorder the terms:
12 + 10 + 3x + 5x = 18 + -2(6 + -2x)

Combine like terms: 12 + 10 = 22
22 + 3x + 5x = 18 + -2(6 + -2x)

Combine like terms: 3x + 5x = 8x
22 + 8x = 18 + -2(6 + -2x)
22 + 8x = 18 + (6 * -2 + -2x * -2)
22 + 8x = 18 + (-12 + 4x)

Combine like terms: 18 + -12 = 6
22 + 8x = 6 + 4x

Solving
22 + 8x = 6 + 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.
22 + 8x + -4x = 6 + 4x + -4x

Combine like terms: 8x + -4x = 4x
22 + 4x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
22 + 4x = 6 + 0
22 + 4x = 6

Add '-22' to each side of the equation.
22 + -22 + 4x = 6 + -22

Combine like terms: 22 + -22 = 0
0 + 4x = 6 + -22
4x = 6 + -22

Combine like terms: 6 + -22 = -16
4x = -16

Divide each side by '4'.
x = -4

Simplifying
x = -4

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