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

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


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

Reorder the terms:
4(2 + x) = 14 + -3(3 + -2x)
(2 * 4 + x * 4) = 14 + -3(3 + -2x)
(8 + 4x) = 14 + -3(3 + -2x)
8 + 4x = 14 + (3 * -3 + -2x * -3)
8 + 4x = 14 + (-9 + 6x)

Combine like terms: 14 + -9 = 5
8 + 4x = 5 + 6x

Solving
8 + 4x = 5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 4x + -6x = 5 + 6x + -6x

Combine like terms: 4x + -6x = -2x
8 + -2x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -2x = 5 + 0
8 + -2x = 5

Add '-8' to each side of the equation.
8 + -8 + -2x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 5 + -8
-2x = 5 + -8

Combine like terms: 5 + -8 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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