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

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


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

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

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

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

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

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

Combine like terms: 2 + 8 = 10
10 + 4x + 3x = (8x + -4)

Combine like terms: 4x + 3x = 7x
10 + 7x = (8x + -4)

Reorder the terms:
10 + 7x = (-4 + 8x)

Remove parenthesis around (-4 + 8x)
10 + 7x = -4 + 8x

Solving
10 + 7x = -4 + 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.
10 + 7x + -8x = -4 + 8x + -8x

Combine like terms: 7x + -8x = -1x
10 + -1x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -1x = -4 + 0
10 + -1x = -4

Add '-10' to each side of the equation.
10 + -10 + -1x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -4 + -10
-1x = -4 + -10

Combine like terms: -4 + -10 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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