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

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


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

Reorder the terms:
4(-3 + x) + 17 = 3(x + 4)
(-3 * 4 + x * 4) + 17 = 3(x + 4)
(-12 + 4x) + 17 = 3(x + 4)

Reorder the terms:
-12 + 17 + 4x = 3(x + 4)

Combine like terms: -12 + 17 = 5
5 + 4x = 3(x + 4)

Reorder the terms:
5 + 4x = 3(4 + x)
5 + 4x = (4 * 3 + x * 3)
5 + 4x = (12 + 3x)

Solving
5 + 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.
5 + 4x + -3x = 12 + 3x + -3x

Combine like terms: 4x + -3x = 1x
5 + 1x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + 1x = 12 + 0
5 + 1x = 12

Add '-5' to each side of the equation.
5 + -5 + 1x = 12 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 12 + -5
1x = 12 + -5

Combine like terms: 12 + -5 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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