4x+8(x-7)=4(x-8)

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Solution for 4x+8(x-7)=4(x-8) equation:


Simplifying
4x + 8(x + -7) = 4(x + -8)

Reorder the terms:
4x + 8(-7 + x) = 4(x + -8)
4x + (-7 * 8 + x * 8) = 4(x + -8)
4x + (-56 + 8x) = 4(x + -8)

Reorder the terms:
-56 + 4x + 8x = 4(x + -8)

Combine like terms: 4x + 8x = 12x
-56 + 12x = 4(x + -8)

Reorder the terms:
-56 + 12x = 4(-8 + x)
-56 + 12x = (-8 * 4 + x * 4)
-56 + 12x = (-32 + 4x)

Solving
-56 + 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.
-56 + 12x + -4x = -32 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-56 + 8x = -32 + 4x + -4x

Combine like terms: 4x + -4x = 0
-56 + 8x = -32 + 0
-56 + 8x = -32

Add '56' to each side of the equation.
-56 + 56 + 8x = -32 + 56

Combine like terms: -56 + 56 = 0
0 + 8x = -32 + 56
8x = -32 + 56

Combine like terms: -32 + 56 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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