8-2(2x+4)=3x+4(x-2)

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Solution for 8-2(2x+4)=3x+4(x-2) equation:


Simplifying
8 + -2(2x + 4) = 3x + 4(x + -2)

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

Combine like terms: 8 + -8 = 0
0 + -4x = 3x + 4(x + -2)
-4x = 3x + 4(x + -2)

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

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

Combine like terms: 3x + 4x = 7x
-4x = -8 + 7x

Solving
-4x = -8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4x + -7x = -8 + 7x + -7x

Combine like terms: -4x + -7x = -11x
-11x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
-11x = -8 + 0
-11x = -8

Divide each side by '-11'.
x = 0.7272727273

Simplifying
x = 0.7272727273

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