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

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


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

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

Reorder the terms:
-6 + 24x + 7x + 9(-3 + x) = 4
-6 + 24x + 7x + (-3 * 9 + x * 9) = 4
-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 = 31x
-33 + 31x + 9x = 4

Combine like terms: 31x + 9x = 40x
-33 + 40x = 4

Solving
-33 + 40x = 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 + 40x = 4 + 33

Combine like terms: -33 + 33 = 0
0 + 40x = 4 + 33
40x = 4 + 33

Combine like terms: 4 + 33 = 37
40x = 37

Divide each side by '40'.
x = 0.925

Simplifying
x = 0.925

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