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

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


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

Reorder the terms:
9 + -3(5 + 4x) = 5(7 + -4x) + 5
9 + (5 * -3 + 4x * -3) = 5(7 + -4x) + 5
9 + (-15 + -12x) = 5(7 + -4x) + 5

Combine like terms: 9 + -15 = -6
-6 + -12x = 5(7 + -4x) + 5
-6 + -12x = (7 * 5 + -4x * 5) + 5
-6 + -12x = (35 + -20x) + 5

Reorder the terms:
-6 + -12x = 35 + 5 + -20x

Combine like terms: 35 + 5 = 40
-6 + -12x = 40 + -20x

Solving
-6 + -12x = 40 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
-6 + -12x + 20x = 40 + -20x + 20x

Combine like terms: -12x + 20x = 8x
-6 + 8x = 40 + -20x + 20x

Combine like terms: -20x + 20x = 0
-6 + 8x = 40 + 0
-6 + 8x = 40

Add '6' to each side of the equation.
-6 + 6 + 8x = 40 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 40 + 6
8x = 40 + 6

Combine like terms: 40 + 6 = 46
8x = 46

Divide each side by '8'.
x = 5.75

Simplifying
x = 5.75

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