(8x+8)-(3x+12)=14-7x

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Solution for (8x+8)-(3x+12)=14-7x equation:


Simplifying
(8x + 8) + -1(3x + 12) = 14 + -7x

Reorder the terms:
(8 + 8x) + -1(3x + 12) = 14 + -7x

Remove parenthesis around (8 + 8x)
8 + 8x + -1(3x + 12) = 14 + -7x

Reorder the terms:
8 + 8x + -1(12 + 3x) = 14 + -7x
8 + 8x + (12 * -1 + 3x * -1) = 14 + -7x
8 + 8x + (-12 + -3x) = 14 + -7x

Reorder the terms:
8 + -12 + 8x + -3x = 14 + -7x

Combine like terms: 8 + -12 = -4
-4 + 8x + -3x = 14 + -7x

Combine like terms: 8x + -3x = 5x
-4 + 5x = 14 + -7x

Solving
-4 + 5x = 14 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-4 + 5x + 7x = 14 + -7x + 7x

Combine like terms: 5x + 7x = 12x
-4 + 12x = 14 + -7x + 7x

Combine like terms: -7x + 7x = 0
-4 + 12x = 14 + 0
-4 + 12x = 14

Add '4' to each side of the equation.
-4 + 4 + 12x = 14 + 4

Combine like terms: -4 + 4 = 0
0 + 12x = 14 + 4
12x = 14 + 4

Combine like terms: 14 + 4 = 18
12x = 18

Divide each side by '12'.
x = 1.5

Simplifying
x = 1.5

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