1+8(x-4)=11-8(x-5)

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Solution for 1+8(x-4)=11-8(x-5) equation:


Simplifying
1 + 8(x + -4) = 11 + -8(x + -5)

Reorder the terms:
1 + 8(-4 + x) = 11 + -8(x + -5)
1 + (-4 * 8 + x * 8) = 11 + -8(x + -5)
1 + (-32 + 8x) = 11 + -8(x + -5)

Combine like terms: 1 + -32 = -31
-31 + 8x = 11 + -8(x + -5)

Reorder the terms:
-31 + 8x = 11 + -8(-5 + x)
-31 + 8x = 11 + (-5 * -8 + x * -8)
-31 + 8x = 11 + (40 + -8x)

Combine like terms: 11 + 40 = 51
-31 + 8x = 51 + -8x

Solving
-31 + 8x = 51 + -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.
-31 + 8x + 8x = 51 + -8x + 8x

Combine like terms: 8x + 8x = 16x
-31 + 16x = 51 + -8x + 8x

Combine like terms: -8x + 8x = 0
-31 + 16x = 51 + 0
-31 + 16x = 51

Add '31' to each side of the equation.
-31 + 31 + 16x = 51 + 31

Combine like terms: -31 + 31 = 0
0 + 16x = 51 + 31
16x = 51 + 31

Combine like terms: 51 + 31 = 82
16x = 82

Divide each side by '16'.
x = 5.125

Simplifying
x = 5.125

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