4(x-6)-2(x+16)=4-3(x+4)

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Solution for 4(x-6)-2(x+16)=4-3(x+4) equation:


Simplifying
4(x + -6) + -2(x + 16) = 4 + -3(x + 4)

Reorder the terms:
4(-6 + x) + -2(x + 16) = 4 + -3(x + 4)
(-6 * 4 + x * 4) + -2(x + 16) = 4 + -3(x + 4)
(-24 + 4x) + -2(x + 16) = 4 + -3(x + 4)

Reorder the terms:
-24 + 4x + -2(16 + x) = 4 + -3(x + 4)
-24 + 4x + (16 * -2 + x * -2) = 4 + -3(x + 4)
-24 + 4x + (-32 + -2x) = 4 + -3(x + 4)

Reorder the terms:
-24 + -32 + 4x + -2x = 4 + -3(x + 4)

Combine like terms: -24 + -32 = -56
-56 + 4x + -2x = 4 + -3(x + 4)

Combine like terms: 4x + -2x = 2x
-56 + 2x = 4 + -3(x + 4)

Reorder the terms:
-56 + 2x = 4 + -3(4 + x)
-56 + 2x = 4 + (4 * -3 + x * -3)
-56 + 2x = 4 + (-12 + -3x)

Combine like terms: 4 + -12 = -8
-56 + 2x = -8 + -3x

Solving
-56 + 2x = -8 + -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.
-56 + 2x + 3x = -8 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-56 + 5x = -8 + -3x + 3x

Combine like terms: -3x + 3x = 0
-56 + 5x = -8 + 0
-56 + 5x = -8

Add '56' to each side of the equation.
-56 + 56 + 5x = -8 + 56

Combine like terms: -56 + 56 = 0
0 + 5x = -8 + 56
5x = -8 + 56

Combine like terms: -8 + 56 = 48
5x = 48

Divide each side by '5'.
x = 9.6

Simplifying
x = 9.6

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