4(3x+2)+(x+3)=4(4x+5)+12

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Solution for 4(3x+2)+(x+3)=4(4x+5)+12 equation:


Simplifying
4(3x + 2) + (x + 3) = 4(4x + 5) + 12

Reorder the terms:
4(2 + 3x) + (x + 3) = 4(4x + 5) + 12
(2 * 4 + 3x * 4) + (x + 3) = 4(4x + 5) + 12
(8 + 12x) + (x + 3) = 4(4x + 5) + 12

Reorder the terms:
8 + 12x + (3 + x) = 4(4x + 5) + 12

Remove parenthesis around (3 + x)
8 + 12x + 3 + x = 4(4x + 5) + 12

Reorder the terms:
8 + 3 + 12x + x = 4(4x + 5) + 12

Combine like terms: 8 + 3 = 11
11 + 12x + x = 4(4x + 5) + 12

Combine like terms: 12x + x = 13x
11 + 13x = 4(4x + 5) + 12

Reorder the terms:
11 + 13x = 4(5 + 4x) + 12
11 + 13x = (5 * 4 + 4x * 4) + 12
11 + 13x = (20 + 16x) + 12

Reorder the terms:
11 + 13x = 20 + 12 + 16x

Combine like terms: 20 + 12 = 32
11 + 13x = 32 + 16x

Solving
11 + 13x = 32 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
11 + 13x + -16x = 32 + 16x + -16x

Combine like terms: 13x + -16x = -3x
11 + -3x = 32 + 16x + -16x

Combine like terms: 16x + -16x = 0
11 + -3x = 32 + 0
11 + -3x = 32

Add '-11' to each side of the equation.
11 + -11 + -3x = 32 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 32 + -11
-3x = 32 + -11

Combine like terms: 32 + -11 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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