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

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


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

Reorder the terms:
4(-4 + x) + 17 = 3(x + 3)
(-4 * 4 + x * 4) + 17 = 3(x + 3)
(-16 + 4x) + 17 = 3(x + 3)

Reorder the terms:
-16 + 17 + 4x = 3(x + 3)

Combine like terms: -16 + 17 = 1
1 + 4x = 3(x + 3)

Reorder the terms:
1 + 4x = 3(3 + x)
1 + 4x = (3 * 3 + x * 3)
1 + 4x = (9 + 3x)

Solving
1 + 4x = 9 + 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.
1 + 4x + -3x = 9 + 3x + -3x

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

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

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

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

Combine like terms: 9 + -1 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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