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

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


Simplifying
4 + -1(4x + -4) = 2 + 3(x + -2)

Reorder the terms:
4 + -1(-4 + 4x) = 2 + 3(x + -2)
4 + (-4 * -1 + 4x * -1) = 2 + 3(x + -2)
4 + (4 + -4x) = 2 + 3(x + -2)

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

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

Combine like terms: 2 + -6 = -4
8 + -4x = -4 + 3x

Solving
8 + -4x = -4 + 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.
8 + -4x + -3x = -4 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
8 + -7x = -4 + 0
8 + -7x = -4

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

Combine like terms: 8 + -8 = 0
0 + -7x = -4 + -8
-7x = -4 + -8

Combine like terms: -4 + -8 = -12
-7x = -12

Divide each side by '-7'.
x = 1.714285714

Simplifying
x = 1.714285714

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