(4x+8)+(2x+24)=(7x+14)

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Solution for (4x+8)+(2x+24)=(7x+14) equation:


Simplifying
(4x + 8) + (2x + 24) = (7x + 14)

Reorder the terms:
(8 + 4x) + (2x + 24) = (7x + 14)

Remove parenthesis around (8 + 4x)
8 + 4x + (2x + 24) = (7x + 14)

Reorder the terms:
8 + 4x + (24 + 2x) = (7x + 14)

Remove parenthesis around (24 + 2x)
8 + 4x + 24 + 2x = (7x + 14)

Reorder the terms:
8 + 24 + 4x + 2x = (7x + 14)

Combine like terms: 8 + 24 = 32
32 + 4x + 2x = (7x + 14)

Combine like terms: 4x + 2x = 6x
32 + 6x = (7x + 14)

Reorder the terms:
32 + 6x = (14 + 7x)

Remove parenthesis around (14 + 7x)
32 + 6x = 14 + 7x

Solving
32 + 6x = 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.
32 + 6x + -7x = 14 + 7x + -7x

Combine like terms: 6x + -7x = -1x
32 + -1x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
32 + -1x = 14 + 0
32 + -1x = 14

Add '-32' to each side of the equation.
32 + -32 + -1x = 14 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = 14 + -32
-1x = 14 + -32

Combine like terms: 14 + -32 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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