(3x+2)(5-1)=2(x+9)

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Solution for (3x+2)(5-1)=2(x+9) equation:


Simplifying
(3x + 2)(5 + -1) = 2(x + 9)

Reorder the terms:
(2 + 3x)(5 + -1) = 2(x + 9)

Combine like terms: 5 + -1 = 4
(2 + 3x)(4) = 2(x + 9)

Reorder the terms for easier multiplication:
4(2 + 3x) = 2(x + 9)
(2 * 4 + 3x * 4) = 2(x + 9)
(8 + 12x) = 2(x + 9)

Reorder the terms:
8 + 12x = 2(9 + x)
8 + 12x = (9 * 2 + x * 2)
8 + 12x = (18 + 2x)

Solving
8 + 12x = 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.
8 + 12x + -2x = 18 + 2x + -2x

Combine like terms: 12x + -2x = 10x
8 + 10x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 10x = 18 + 0
8 + 10x = 18

Add '-8' to each side of the equation.
8 + -8 + 10x = 18 + -8

Combine like terms: 8 + -8 = 0
0 + 10x = 18 + -8
10x = 18 + -8

Combine like terms: 18 + -8 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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