-4(5x-4)+3(7x-4)-6=4-9

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Solution for -4(5x-4)+3(7x-4)-6=4-9 equation:


Simplifying
-4(5x + -4) + 3(7x + -4) + -6 = 4 + -9

Reorder the terms:
-4(-4 + 5x) + 3(7x + -4) + -6 = 4 + -9
(-4 * -4 + 5x * -4) + 3(7x + -4) + -6 = 4 + -9
(16 + -20x) + 3(7x + -4) + -6 = 4 + -9

Reorder the terms:
16 + -20x + 3(-4 + 7x) + -6 = 4 + -9
16 + -20x + (-4 * 3 + 7x * 3) + -6 = 4 + -9
16 + -20x + (-12 + 21x) + -6 = 4 + -9

Reorder the terms:
16 + -12 + -6 + -20x + 21x = 4 + -9

Combine like terms: 16 + -12 = 4
4 + -6 + -20x + 21x = 4 + -9

Combine like terms: 4 + -6 = -2
-2 + -20x + 21x = 4 + -9

Combine like terms: -20x + 21x = 1x
-2 + 1x = 4 + -9

Combine like terms: 4 + -9 = -5
-2 + 1x = -5

Solving
-2 + 1x = -5

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 1x = -5 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = -5 + 2
1x = -5 + 2

Combine like terms: -5 + 2 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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