4(x+1)-3(x-5)=17

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Solution for 4(x+1)-3(x-5)=17 equation:


Simplifying
4(x + 1) + -3(x + -5) = 17

Reorder the terms:
4(1 + x) + -3(x + -5) = 17
(1 * 4 + x * 4) + -3(x + -5) = 17
(4 + 4x) + -3(x + -5) = 17

Reorder the terms:
4 + 4x + -3(-5 + x) = 17
4 + 4x + (-5 * -3 + x * -3) = 17
4 + 4x + (15 + -3x) = 17

Reorder the terms:
4 + 15 + 4x + -3x = 17

Combine like terms: 4 + 15 = 19
19 + 4x + -3x = 17

Combine like terms: 4x + -3x = 1x
19 + 1x = 17

Solving
19 + 1x = 17

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + 1x = 17 + -19

Combine like terms: 19 + -19 = 0
0 + 1x = 17 + -19
1x = 17 + -19

Combine like terms: 17 + -19 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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