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

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


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

Reorder the terms:
6(-9 + x) + -4(x + 8) = 1
(-9 * 6 + x * 6) + -4(x + 8) = 1
(-54 + 6x) + -4(x + 8) = 1

Reorder the terms:
-54 + 6x + -4(8 + x) = 1
-54 + 6x + (8 * -4 + x * -4) = 1
-54 + 6x + (-32 + -4x) = 1

Reorder the terms:
-54 + -32 + 6x + -4x = 1

Combine like terms: -54 + -32 = -86
-86 + 6x + -4x = 1

Combine like terms: 6x + -4x = 2x
-86 + 2x = 1

Solving
-86 + 2x = 1

Solving for variable 'x'.

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

Add '86' to each side of the equation.
-86 + 86 + 2x = 1 + 86

Combine like terms: -86 + 86 = 0
0 + 2x = 1 + 86
2x = 1 + 86

Combine like terms: 1 + 86 = 87
2x = 87

Divide each side by '2'.
x = 43.5

Simplifying
x = 43.5

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