1+8(x-8)=6-7(x-5)

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Solution for 1+8(x-8)=6-7(x-5) equation:


Simplifying
1 + 8(x + -8) = 6 + -7(x + -5)

Reorder the terms:
1 + 8(-8 + x) = 6 + -7(x + -5)
1 + (-8 * 8 + x * 8) = 6 + -7(x + -5)
1 + (-64 + 8x) = 6 + -7(x + -5)

Combine like terms: 1 + -64 = -63
-63 + 8x = 6 + -7(x + -5)

Reorder the terms:
-63 + 8x = 6 + -7(-5 + x)
-63 + 8x = 6 + (-5 * -7 + x * -7)
-63 + 8x = 6 + (35 + -7x)

Combine like terms: 6 + 35 = 41
-63 + 8x = 41 + -7x

Solving
-63 + 8x = 41 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-63 + 8x + 7x = 41 + -7x + 7x

Combine like terms: 8x + 7x = 15x
-63 + 15x = 41 + -7x + 7x

Combine like terms: -7x + 7x = 0
-63 + 15x = 41 + 0
-63 + 15x = 41

Add '63' to each side of the equation.
-63 + 63 + 15x = 41 + 63

Combine like terms: -63 + 63 = 0
0 + 15x = 41 + 63
15x = 41 + 63

Combine like terms: 41 + 63 = 104
15x = 104

Divide each side by '15'.
x = 6.933333333

Simplifying
x = 6.933333333

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