4(x+2)-14=-3x+16

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Solution for 4(x+2)-14=-3x+16 equation:


Simplifying
4(x + 2) + -14 = -3x + 16

Reorder the terms:
4(2 + x) + -14 = -3x + 16
(2 * 4 + x * 4) + -14 = -3x + 16
(8 + 4x) + -14 = -3x + 16

Reorder the terms:
8 + -14 + 4x = -3x + 16

Combine like terms: 8 + -14 = -6
-6 + 4x = -3x + 16

Reorder the terms:
-6 + 4x = 16 + -3x

Solving
-6 + 4x = 16 + -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.
-6 + 4x + 3x = 16 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-6 + 7x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 7x = 16 + 0
-6 + 7x = 16

Add '6' to each side of the equation.
-6 + 6 + 7x = 16 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 16 + 6
7x = 16 + 6

Combine like terms: 16 + 6 = 22
7x = 22

Divide each side by '7'.
x = 3.142857143

Simplifying
x = 3.142857143

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