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

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


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

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

Reorder the terms:
-6 + -24x + 7x + 9(-4 + x) = 4
-6 + -24x + 7x + (-4 * 9 + x * 9) = 4
-6 + -24x + 7x + (-36 + 9x) = 4

Reorder the terms:
-6 + -36 + -24x + 7x + 9x = 4

Combine like terms: -6 + -36 = -42
-42 + -24x + 7x + 9x = 4

Combine like terms: -24x + 7x = -17x
-42 + -17x + 9x = 4

Combine like terms: -17x + 9x = -8x
-42 + -8x = 4

Solving
-42 + -8x = 4

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + -8x = 4 + 42

Combine like terms: -42 + 42 = 0
0 + -8x = 4 + 42
-8x = 4 + 42

Combine like terms: 4 + 42 = 46
-8x = 46

Divide each side by '-8'.
x = -5.75

Simplifying
x = -5.75

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