4(x+3)-3(x+1)=17

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Solution for 4(x+3)-3(x+1)=17 equation:


Simplifying
4(x + 3) + -3(x + 1) = 17

Reorder the terms:
4(3 + x) + -3(x + 1) = 17
(3 * 4 + x * 4) + -3(x + 1) = 17
(12 + 4x) + -3(x + 1) = 17

Reorder the terms:
12 + 4x + -3(1 + x) = 17
12 + 4x + (1 * -3 + x * -3) = 17
12 + 4x + (-3 + -3x) = 17

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

Combine like terms: 12 + -3 = 9
9 + 4x + -3x = 17

Combine like terms: 4x + -3x = 1x
9 + 1x = 17

Solving
9 + 1x = 17

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 1x = 17 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 17 + -9
1x = 17 + -9

Combine like terms: 17 + -9 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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