-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 = 21
21 + -24x + 7x + -9x = 4

Combine like terms: -24x + 7x = -17x
21 + -17x + -9x = 4

Combine like terms: -17x + -9x = -26x
21 + -26x = 4

Solving
21 + -26x = 4

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + -26x = 4 + -21

Combine like terms: 21 + -21 = 0
0 + -26x = 4 + -21
-26x = 4 + -21

Combine like terms: 4 + -21 = -17
-26x = -17

Divide each side by '-26'.
x = 0.6538461538

Simplifying
x = 0.6538461538

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