8+3(x-5)=1-8(x-8)

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Solution for 8+3(x-5)=1-8(x-8) equation:


Simplifying
8 + 3(x + -5) = 1 + -8(x + -8)

Reorder the terms:
8 + 3(-5 + x) = 1 + -8(x + -8)
8 + (-5 * 3 + x * 3) = 1 + -8(x + -8)
8 + (-15 + 3x) = 1 + -8(x + -8)

Combine like terms: 8 + -15 = -7
-7 + 3x = 1 + -8(x + -8)

Reorder the terms:
-7 + 3x = 1 + -8(-8 + x)
-7 + 3x = 1 + (-8 * -8 + x * -8)
-7 + 3x = 1 + (64 + -8x)

Combine like terms: 1 + 64 = 65
-7 + 3x = 65 + -8x

Solving
-7 + 3x = 65 + -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.
-7 + 3x + 8x = 65 + -8x + 8x

Combine like terms: 3x + 8x = 11x
-7 + 11x = 65 + -8x + 8x

Combine like terms: -8x + 8x = 0
-7 + 11x = 65 + 0
-7 + 11x = 65

Add '7' to each side of the equation.
-7 + 7 + 11x = 65 + 7

Combine like terms: -7 + 7 = 0
0 + 11x = 65 + 7
11x = 65 + 7

Combine like terms: 65 + 7 = 72
11x = 72

Divide each side by '11'.
x = 6.545454545

Simplifying
x = 6.545454545

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