(4x+9)+(3x+17)=(8x+8)

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Solution for (4x+9)+(3x+17)=(8x+8) equation:


Simplifying
(4x + 9) + (3x + 17) = (8x + 8)

Reorder the terms:
(9 + 4x) + (3x + 17) = (8x + 8)

Remove parenthesis around (9 + 4x)
9 + 4x + (3x + 17) = (8x + 8)

Reorder the terms:
9 + 4x + (17 + 3x) = (8x + 8)

Remove parenthesis around (17 + 3x)
9 + 4x + 17 + 3x = (8x + 8)

Reorder the terms:
9 + 17 + 4x + 3x = (8x + 8)

Combine like terms: 9 + 17 = 26
26 + 4x + 3x = (8x + 8)

Combine like terms: 4x + 3x = 7x
26 + 7x = (8x + 8)

Reorder the terms:
26 + 7x = (8 + 8x)

Remove parenthesis around (8 + 8x)
26 + 7x = 8 + 8x

Solving
26 + 7x = 8 + 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.
26 + 7x + -8x = 8 + 8x + -8x

Combine like terms: 7x + -8x = -1x
26 + -1x = 8 + 8x + -8x

Combine like terms: 8x + -8x = 0
26 + -1x = 8 + 0
26 + -1x = 8

Add '-26' to each side of the equation.
26 + -26 + -1x = 8 + -26

Combine like terms: 26 + -26 = 0
0 + -1x = 8 + -26
-1x = 8 + -26

Combine like terms: 8 + -26 = -18
-1x = -18

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

Simplifying
x = 18

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