18+5(3x-2)=2(7x+1)

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Solution for 18+5(3x-2)=2(7x+1) equation:


Simplifying
18 + 5(3x + -2) = 2(7x + 1)

Reorder the terms:
18 + 5(-2 + 3x) = 2(7x + 1)
18 + (-2 * 5 + 3x * 5) = 2(7x + 1)
18 + (-10 + 15x) = 2(7x + 1)

Combine like terms: 18 + -10 = 8
8 + 15x = 2(7x + 1)

Reorder the terms:
8 + 15x = 2(1 + 7x)
8 + 15x = (1 * 2 + 7x * 2)
8 + 15x = (2 + 14x)

Solving
8 + 15x = 2 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
8 + 15x + -14x = 2 + 14x + -14x

Combine like terms: 15x + -14x = 1x
8 + 1x = 2 + 14x + -14x

Combine like terms: 14x + -14x = 0
8 + 1x = 2 + 0
8 + 1x = 2

Add '-8' to each side of the equation.
8 + -8 + 1x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 2 + -8
1x = 2 + -8

Combine like terms: 2 + -8 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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