8(x-6)-5=4(x-4)

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Solution for 8(x-6)-5=4(x-4) equation:


Simplifying
8(x + -6) + -5 = 4(x + -4)

Reorder the terms:
8(-6 + x) + -5 = 4(x + -4)
(-6 * 8 + x * 8) + -5 = 4(x + -4)
(-48 + 8x) + -5 = 4(x + -4)

Reorder the terms:
-48 + -5 + 8x = 4(x + -4)

Combine like terms: -48 + -5 = -53
-53 + 8x = 4(x + -4)

Reorder the terms:
-53 + 8x = 4(-4 + x)
-53 + 8x = (-4 * 4 + x * 4)
-53 + 8x = (-16 + 4x)

Solving
-53 + 8x = -16 + 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.
-53 + 8x + -4x = -16 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-53 + 4x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-53 + 4x = -16 + 0
-53 + 4x = -16

Add '53' to each side of the equation.
-53 + 53 + 4x = -16 + 53

Combine like terms: -53 + 53 = 0
0 + 4x = -16 + 53
4x = -16 + 53

Combine like terms: -16 + 53 = 37
4x = 37

Divide each side by '4'.
x = 9.25

Simplifying
x = 9.25

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