4(2x-6)-3(7x+2)=9

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Solution for 4(2x-6)-3(7x+2)=9 equation:


Simplifying
4(2x + -6) + -3(7x + 2) = 9

Reorder the terms:
4(-6 + 2x) + -3(7x + 2) = 9
(-6 * 4 + 2x * 4) + -3(7x + 2) = 9
(-24 + 8x) + -3(7x + 2) = 9

Reorder the terms:
-24 + 8x + -3(2 + 7x) = 9
-24 + 8x + (2 * -3 + 7x * -3) = 9
-24 + 8x + (-6 + -21x) = 9

Reorder the terms:
-24 + -6 + 8x + -21x = 9

Combine like terms: -24 + -6 = -30
-30 + 8x + -21x = 9

Combine like terms: 8x + -21x = -13x
-30 + -13x = 9

Solving
-30 + -13x = 9

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + -13x = 9 + 30

Combine like terms: -30 + 30 = 0
0 + -13x = 9 + 30
-13x = 9 + 30

Combine like terms: 9 + 30 = 39
-13x = 39

Divide each side by '-13'.
x = -3

Simplifying
x = -3

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