3x-17=4(2x+2)

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Solution for 3x-17=4(2x+2) equation:


Simplifying
3x + -17 = 4(2x + 2)

Reorder the terms:
-17 + 3x = 4(2x + 2)

Reorder the terms:
-17 + 3x = 4(2 + 2x)
-17 + 3x = (2 * 4 + 2x * 4)
-17 + 3x = (8 + 8x)

Solving
-17 + 3x = 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.
-17 + 3x + -8x = 8 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-17 + -5x = 8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-17 + -5x = 8 + 0
-17 + -5x = 8

Add '17' to each side of the equation.
-17 + 17 + -5x = 8 + 17

Combine like terms: -17 + 17 = 0
0 + -5x = 8 + 17
-5x = 8 + 17

Combine like terms: 8 + 17 = 25
-5x = 25

Divide each side by '-5'.
x = -5

Simplifying
x = -5

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