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

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Solution for 2(3x+4)=17-3(2x-1) equation:


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

Reorder the terms:
2(4 + 3x) = 17 + -3(2x + -1)
(4 * 2 + 3x * 2) = 17 + -3(2x + -1)
(8 + 6x) = 17 + -3(2x + -1)

Reorder the terms:
8 + 6x = 17 + -3(-1 + 2x)
8 + 6x = 17 + (-1 * -3 + 2x * -3)
8 + 6x = 17 + (3 + -6x)

Combine like terms: 17 + 3 = 20
8 + 6x = 20 + -6x

Solving
8 + 6x = 20 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
8 + 6x + 6x = 20 + -6x + 6x

Combine like terms: 6x + 6x = 12x
8 + 12x = 20 + -6x + 6x

Combine like terms: -6x + 6x = 0
8 + 12x = 20 + 0
8 + 12x = 20

Add '-8' to each side of the equation.
8 + -8 + 12x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 12x = 20 + -8
12x = 20 + -8

Combine like terms: 20 + -8 = 12
12x = 12

Divide each side by '12'.
x = 1

Simplifying
x = 1

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