1+8(x-9)=6-4(x-1)

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Solution for 1+8(x-9)=6-4(x-1) equation:


Simplifying
1 + 8(x + -9) = 6 + -4(x + -1)

Reorder the terms:
1 + 8(-9 + x) = 6 + -4(x + -1)
1 + (-9 * 8 + x * 8) = 6 + -4(x + -1)
1 + (-72 + 8x) = 6 + -4(x + -1)

Combine like terms: 1 + -72 = -71
-71 + 8x = 6 + -4(x + -1)

Reorder the terms:
-71 + 8x = 6 + -4(-1 + x)
-71 + 8x = 6 + (-1 * -4 + x * -4)
-71 + 8x = 6 + (4 + -4x)

Combine like terms: 6 + 4 = 10
-71 + 8x = 10 + -4x

Solving
-71 + 8x = 10 + -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.
-71 + 8x + 4x = 10 + -4x + 4x

Combine like terms: 8x + 4x = 12x
-71 + 12x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-71 + 12x = 10 + 0
-71 + 12x = 10

Add '71' to each side of the equation.
-71 + 71 + 12x = 10 + 71

Combine like terms: -71 + 71 = 0
0 + 12x = 10 + 71
12x = 10 + 71

Combine like terms: 10 + 71 = 81
12x = 81

Divide each side by '12'.
x = 6.75

Simplifying
x = 6.75

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