5x+2(4x-1)=3x+18

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Solution for 5x+2(4x-1)=3x+18 equation:


Simplifying
5x + 2(4x + -1) = 3x + 18

Reorder the terms:
5x + 2(-1 + 4x) = 3x + 18
5x + (-1 * 2 + 4x * 2) = 3x + 18
5x + (-2 + 8x) = 3x + 18

Reorder the terms:
-2 + 5x + 8x = 3x + 18

Combine like terms: 5x + 8x = 13x
-2 + 13x = 3x + 18

Reorder the terms:
-2 + 13x = 18 + 3x

Solving
-2 + 13x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 13x + -3x = 18 + 3x + -3x

Combine like terms: 13x + -3x = 10x
-2 + 10x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 10x = 18 + 0
-2 + 10x = 18

Add '2' to each side of the equation.
-2 + 2 + 10x = 18 + 2

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

Combine like terms: 18 + 2 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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