(3x-1)+2(2x+8)=4x-3

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Solution for (3x-1)+2(2x+8)=4x-3 equation:


Simplifying
(3x + -1) + 2(2x + 8) = 4x + -3

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

Remove parenthesis around (-1 + 3x)
-1 + 3x + 2(2x + 8) = 4x + -3

Reorder the terms:
-1 + 3x + 2(8 + 2x) = 4x + -3
-1 + 3x + (8 * 2 + 2x * 2) = 4x + -3
-1 + 3x + (16 + 4x) = 4x + -3

Reorder the terms:
-1 + 16 + 3x + 4x = 4x + -3

Combine like terms: -1 + 16 = 15
15 + 3x + 4x = 4x + -3

Combine like terms: 3x + 4x = 7x
15 + 7x = 4x + -3

Reorder the terms:
15 + 7x = -3 + 4x

Solving
15 + 7x = -3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + 7x + -4x = -3 + 4x + -4x

Combine like terms: 7x + -4x = 3x
15 + 3x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + 3x = -3 + 0
15 + 3x = -3

Add '-15' to each side of the equation.
15 + -15 + 3x = -3 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = -3 + -15
3x = -3 + -15

Combine like terms: -3 + -15 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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