-6(4x+1)+7x+(9x-27)=4

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Solution for -6(4x+1)+7x+(9x-27)=4 equation:


Simplifying
-6(4x + 1) + 7x + (9x + -27) = 4

Reorder the terms:
-6(1 + 4x) + 7x + (9x + -27) = 4
(1 * -6 + 4x * -6) + 7x + (9x + -27) = 4
(-6 + -24x) + 7x + (9x + -27) = 4

Reorder the terms:
-6 + -24x + 7x + (-27 + 9x) = 4

Remove parenthesis around (-27 + 9x)
-6 + -24x + 7x + -27 + 9x = 4

Reorder the terms:
-6 + -27 + -24x + 7x + 9x = 4

Combine like terms: -6 + -27 = -33
-33 + -24x + 7x + 9x = 4

Combine like terms: -24x + 7x = -17x
-33 + -17x + 9x = 4

Combine like terms: -17x + 9x = -8x
-33 + -8x = 4

Solving
-33 + -8x = 4

Solving for variable 'x'.

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

Add '33' to each side of the equation.
-33 + 33 + -8x = 4 + 33

Combine like terms: -33 + 33 = 0
0 + -8x = 4 + 33
-8x = 4 + 33

Combine like terms: 4 + 33 = 37
-8x = 37

Divide each side by '-8'.
x = -4.625

Simplifying
x = -4.625

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