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

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


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

Reorder the terms:
3(4 + x) = 2(2x + 1) + -5
(4 * 3 + x * 3) = 2(2x + 1) + -5
(12 + 3x) = 2(2x + 1) + -5

Reorder the terms:
12 + 3x = 2(1 + 2x) + -5
12 + 3x = (1 * 2 + 2x * 2) + -5
12 + 3x = (2 + 4x) + -5

Reorder the terms:
12 + 3x = 2 + -5 + 4x

Combine like terms: 2 + -5 = -3
12 + 3x = -3 + 4x

Solving
12 + 3x = -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.
12 + 3x + -4x = -3 + 4x + -4x

Combine like terms: 3x + -4x = -1x
12 + -1x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -1x = -3 + 0
12 + -1x = -3

Add '-12' to each side of the equation.
12 + -12 + -1x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -3 + -12
-1x = -3 + -12

Combine like terms: -3 + -12 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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