3(4+x)+x+3=8(3+x)+7

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Solution for 3(4+x)+x+3=8(3+x)+7 equation: 


Simplifying
3(4 + x) + x + 3 = 8(3 + x) + 7
(4 * 3 + x * 3) + x + 3 = 8(3 + x) + 7
(12 + 3x) + x + 3 = 8(3 + x) + 7

Reorder the terms:
12 + 3 + 3x + x = 8(3 + x) + 7

Combine like terms: 12 + 3 = 15
15 + 3x + x = 8(3 + x) + 7

Combine like terms: 3x + x = 4x
15 + 4x = 8(3 + x) + 7
15 + 4x = (3 * 8 + x * 8) + 7
15 + 4x = (24 + 8x) + 7

Reorder the terms:
15 + 4x = 24 + 7 + 8x

Combine like terms: 24 + 7 = 31
15 + 4x = 31 + 8x

Solving
15 + 4x = 31 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
15 + 4x + -8x = 31 + 8x + -8x

Combine like terms: 4x + -8x = -4x
15 + -4x = 31 + 8x + -8x

Combine like terms: 8x + -8x = 0
15 + -4x = 31 + 0
15 + -4x = 31

Add '-15' to each side of the equation.
15 + -15 + -4x = 31 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = 31 + -15
-4x = 31 + -15

Combine like terms: 31 + -15 = 16
-4x = 16

Divide each side by '-4'.
x = -4

Simplifying
x = -4

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