-6(4x+1)+7y+9(x-3)=4

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Solution for -6(4x+1)+7y+9(x-3)=4 equation:


Simplifying
-6(4x + 1) + 7y + 9(x + -3) = 4

Reorder the terms:
-6(1 + 4x) + 7y + 9(x + -3) = 4
(1 * -6 + 4x * -6) + 7y + 9(x + -3) = 4
(-6 + -24x) + 7y + 9(x + -3) = 4

Reorder the terms:
-6 + -24x + 7y + 9(-3 + x) = 4
-6 + -24x + 7y + (-3 * 9 + x * 9) = 4
-6 + -24x + 7y + (-27 + 9x) = 4

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

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

Combine like terms: -24x + 9x = -15x
-33 + -15x + 7y = 4

Solving
-33 + -15x + 7y = 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 + -15x + 33 + 7y = 4 + 33

Reorder the terms:
-33 + 33 + -15x + 7y = 4 + 33

Combine like terms: -33 + 33 = 0
0 + -15x + 7y = 4 + 33
-15x + 7y = 4 + 33

Combine like terms: 4 + 33 = 37
-15x + 7y = 37

Add '-7y' to each side of the equation.
-15x + 7y + -7y = 37 + -7y

Combine like terms: 7y + -7y = 0
-15x + 0 = 37 + -7y
-15x = 37 + -7y

Divide each side by '-15'.
x = -2.466666667 + 0.4666666667y

Simplifying
x = -2.466666667 + 0.4666666667y

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