4(x-1)=-8(x+4)+46

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Solution for 4(x-1)=-8(x+4)+46 equation:


Simplifying
4(x + -1) = -8(x + 4) + 46

Reorder the terms:
4(-1 + x) = -8(x + 4) + 46
(-1 * 4 + x * 4) = -8(x + 4) + 46
(-4 + 4x) = -8(x + 4) + 46

Reorder the terms:
-4 + 4x = -8(4 + x) + 46
-4 + 4x = (4 * -8 + x * -8) + 46
-4 + 4x = (-32 + -8x) + 46

Reorder the terms:
-4 + 4x = -32 + 46 + -8x

Combine like terms: -32 + 46 = 14
-4 + 4x = 14 + -8x

Solving
-4 + 4x = 14 + -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.
-4 + 4x + 8x = 14 + -8x + 8x

Combine like terms: 4x + 8x = 12x
-4 + 12x = 14 + -8x + 8x

Combine like terms: -8x + 8x = 0
-4 + 12x = 14 + 0
-4 + 12x = 14

Add '4' to each side of the equation.
-4 + 4 + 12x = 14 + 4

Combine like terms: -4 + 4 = 0
0 + 12x = 14 + 4
12x = 14 + 4

Combine like terms: 14 + 4 = 18
12x = 18

Divide each side by '12'.
x = 1.5

Simplifying
x = 1.5

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