-3(x+6)=4x+17

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Solution for -3(x+6)=4x+17 equation:


Simplifying
-3(x + 6) = 4x + 17

Reorder the terms:
-3(6 + x) = 4x + 17
(6 * -3 + x * -3) = 4x + 17
(-18 + -3x) = 4x + 17

Reorder the terms:
-18 + -3x = 17 + 4x

Solving
-18 + -3x = 17 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-18 + -3x + -4x = 17 + 4x + -4x

Combine like terms: -3x + -4x = -7x
-18 + -7x = 17 + 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + -7x = 17 + 0
-18 + -7x = 17

Add '18' to each side of the equation.
-18 + 18 + -7x = 17 + 18

Combine like terms: -18 + 18 = 0
0 + -7x = 17 + 18
-7x = 17 + 18

Combine like terms: 17 + 18 = 35
-7x = 35

Divide each side by '-7'.
x = -5

Simplifying
x = -5

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