9(x-1)-2(3x+4)=7

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Solution for 9(x-1)-2(3x+4)=7 equation:


Simplifying
9(x + -1) + -2(3x + 4) = 7

Reorder the terms:
9(-1 + x) + -2(3x + 4) = 7
(-1 * 9 + x * 9) + -2(3x + 4) = 7
(-9 + 9x) + -2(3x + 4) = 7

Reorder the terms:
-9 + 9x + -2(4 + 3x) = 7
-9 + 9x + (4 * -2 + 3x * -2) = 7
-9 + 9x + (-8 + -6x) = 7

Reorder the terms:
-9 + -8 + 9x + -6x = 7

Combine like terms: -9 + -8 = -17
-17 + 9x + -6x = 7

Combine like terms: 9x + -6x = 3x
-17 + 3x = 7

Solving
-17 + 3x = 7

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 3x = 7 + 17

Combine like terms: -17 + 17 = 0
0 + 3x = 7 + 17
3x = 7 + 17

Combine like terms: 7 + 17 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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