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

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


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

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

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

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

Reorder the terms:
9 + 4x = 3(4 + x)
9 + 4x = (4 * 3 + x * 3)
9 + 4x = (12 + 3x)

Solving
9 + 4x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + 4x + -3x = 12 + 3x + -3x

Combine like terms: 4x + -3x = 1x
9 + 1x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + 1x = 12 + 0
9 + 1x = 12

Add '-9' to each side of the equation.
9 + -9 + 1x = 12 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 12 + -9
1x = 12 + -9

Combine like terms: 12 + -9 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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