4(3x-5)-2(x+1)=9

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Solution for 4(3x-5)-2(x+1)=9 equation:


Simplifying
4(3x + -5) + -2(x + 1) = 9

Reorder the terms:
4(-5 + 3x) + -2(x + 1) = 9
(-5 * 4 + 3x * 4) + -2(x + 1) = 9
(-20 + 12x) + -2(x + 1) = 9

Reorder the terms:
-20 + 12x + -2(1 + x) = 9
-20 + 12x + (1 * -2 + x * -2) = 9
-20 + 12x + (-2 + -2x) = 9

Reorder the terms:
-20 + -2 + 12x + -2x = 9

Combine like terms: -20 + -2 = -22
-22 + 12x + -2x = 9

Combine like terms: 12x + -2x = 10x
-22 + 10x = 9

Solving
-22 + 10x = 9

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 10x = 9 + 22

Combine like terms: -22 + 22 = 0
0 + 10x = 9 + 22
10x = 9 + 22

Combine like terms: 9 + 22 = 31
10x = 31

Divide each side by '10'.
x = 3.1

Simplifying
x = 3.1

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