8(x-3)+3=1(x-6)

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Solution for 8(x-3)+3=1(x-6) equation:


Simplifying
8(x + -3) + 3 = 1(x + -6)

Reorder the terms:
8(-3 + x) + 3 = 1(x + -6)
(-3 * 8 + x * 8) + 3 = 1(x + -6)
(-24 + 8x) + 3 = 1(x + -6)

Reorder the terms:
-24 + 3 + 8x = 1(x + -6)

Combine like terms: -24 + 3 = -21
-21 + 8x = 1(x + -6)

Reorder the terms:
-21 + 8x = 1(-6 + x)
-21 + 8x = (-6 * 1 + x * 1)
-21 + 8x = (-6 + 1x)

Solving
-21 + 8x = -6 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-21 + 8x + -1x = -6 + 1x + -1x

Combine like terms: 8x + -1x = 7x
-21 + 7x = -6 + 1x + -1x

Combine like terms: 1x + -1x = 0
-21 + 7x = -6 + 0
-21 + 7x = -6

Add '21' to each side of the equation.
-21 + 21 + 7x = -6 + 21

Combine like terms: -21 + 21 = 0
0 + 7x = -6 + 21
7x = -6 + 21

Combine like terms: -6 + 21 = 15
7x = 15

Divide each side by '7'.
x = 2.142857143

Simplifying
x = 2.142857143

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