8(x-1)=8-4(2x-3)

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Solution for 8(x-1)=8-4(2x-3) equation:


Simplifying
8(x + -1) = 8 + -4(2x + -3)

Reorder the terms:
8(-1 + x) = 8 + -4(2x + -3)
(-1 * 8 + x * 8) = 8 + -4(2x + -3)
(-8 + 8x) = 8 + -4(2x + -3)

Reorder the terms:
-8 + 8x = 8 + -4(-3 + 2x)
-8 + 8x = 8 + (-3 * -4 + 2x * -4)
-8 + 8x = 8 + (12 + -8x)

Combine like terms: 8 + 12 = 20
-8 + 8x = 20 + -8x

Solving
-8 + 8x = 20 + -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 + 8x + 8x = 20 + -8x + 8x

Combine like terms: 8x + 8x = 16x
-8 + 16x = 20 + -8x + 8x

Combine like terms: -8x + 8x = 0
-8 + 16x = 20 + 0
-8 + 16x = 20

Add '8' to each side of the equation.
-8 + 8 + 16x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + 16x = 20 + 8
16x = 20 + 8

Combine like terms: 20 + 8 = 28
16x = 28

Divide each side by '16'.
x = 1.75

Simplifying
x = 1.75

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