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

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


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

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

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

Solving
-8 + 4x = 8 + 8x

Solving for variable 'x'.

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

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

Combine like terms: 4x + -8x = -4x
-8 + -4x = 8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-8 + -4x = 8 + 0
-8 + -4x = 8

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

Combine like terms: -8 + 8 = 0
0 + -4x = 8 + 8
-4x = 8 + 8

Combine like terms: 8 + 8 = 16
-4x = 16

Divide each side by '-4'.
x = -4

Simplifying
x = -4

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