4x+8(x-5)=4(x-8)

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Solution for 4x+8(x-5)=4(x-8) equation:


Simplifying
4x + 8(x + -5) = 4(x + -8)

Reorder the terms:
4x + 8(-5 + x) = 4(x + -8)
4x + (-5 * 8 + x * 8) = 4(x + -8)
4x + (-40 + 8x) = 4(x + -8)

Reorder the terms:
-40 + 4x + 8x = 4(x + -8)

Combine like terms: 4x + 8x = 12x
-40 + 12x = 4(x + -8)

Reorder the terms:
-40 + 12x = 4(-8 + x)
-40 + 12x = (-8 * 4 + x * 4)
-40 + 12x = (-32 + 4x)

Solving
-40 + 12x = -32 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-40 + 12x + -4x = -32 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-40 + 8x = -32 + 4x + -4x

Combine like terms: 4x + -4x = 0
-40 + 8x = -32 + 0
-40 + 8x = -32

Add '40' to each side of the equation.
-40 + 40 + 8x = -32 + 40

Combine like terms: -40 + 40 = 0
0 + 8x = -32 + 40
8x = -32 + 40

Combine like terms: -32 + 40 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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