9(x-4)-(8x-5)=4

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Solution for 9(x-4)-(8x-5)=4 equation:


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

Reorder the terms:
9(-4 + x) + -1(8x + -5) = 4
(-4 * 9 + x * 9) + -1(8x + -5) = 4
(-36 + 9x) + -1(8x + -5) = 4

Reorder the terms:
-36 + 9x + -1(-5 + 8x) = 4
-36 + 9x + (-5 * -1 + 8x * -1) = 4
-36 + 9x + (5 + -8x) = 4

Reorder the terms:
-36 + 5 + 9x + -8x = 4

Combine like terms: -36 + 5 = -31
-31 + 9x + -8x = 4

Combine like terms: 9x + -8x = 1x
-31 + 1x = 4

Solving
-31 + 1x = 4

Solving for variable 'x'.

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

Add '31' to each side of the equation.
-31 + 31 + 1x = 4 + 31

Combine like terms: -31 + 31 = 0
0 + 1x = 4 + 31
1x = 4 + 31

Combine like terms: 4 + 31 = 35
1x = 35

Divide each side by '1'.
x = 35

Simplifying
x = 35

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