6(x+2)=4-(3-2x)+17

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Solution for 6(x+2)=4-(3-2x)+17 equation: 


Simplifying
6(x + 2) = 4 + -1(3 + -2x) + 17

Reorder the terms:
6(2 + x) = 4 + -1(3 + -2x) + 17
(2 * 6 + x * 6) = 4 + -1(3 + -2x) + 17
(12 + 6x) = 4 + -1(3 + -2x) + 17
12 + 6x = 4 + (3 * -1 + -2x * -1) + 17
12 + 6x = 4 + (-3 + 2x) + 17

Reorder the terms:
12 + 6x = 4 + -3 + 17 + 2x

Combine like terms: 4 + -3 = 1
12 + 6x = 1 + 17 + 2x

Combine like terms: 1 + 17 = 18
12 + 6x = 18 + 2x

Solving
12 + 6x = 18 + 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.
12 + 6x + -2x = 18 + 2x + -2x

Combine like terms: 6x + -2x = 4x
12 + 4x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 4x = 18 + 0
12 + 4x = 18

Add '-12' to each side of the equation.
12 + -12 + 4x = 18 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 18 + -12
4x = 18 + -12

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

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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