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

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


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

Reorder the terms:
-5(-6 + 4x) + 3(4x + 5) = 5
(-6 * -5 + 4x * -5) + 3(4x + 5) = 5
(30 + -20x) + 3(4x + 5) = 5

Reorder the terms:
30 + -20x + 3(5 + 4x) = 5
30 + -20x + (5 * 3 + 4x * 3) = 5
30 + -20x + (15 + 12x) = 5

Reorder the terms:
30 + 15 + -20x + 12x = 5

Combine like terms: 30 + 15 = 45
45 + -20x + 12x = 5

Combine like terms: -20x + 12x = -8x
45 + -8x = 5

Solving
45 + -8x = 5

Solving for variable 'x'.

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

Add '-45' to each side of the equation.
45 + -45 + -8x = 5 + -45

Combine like terms: 45 + -45 = 0
0 + -8x = 5 + -45
-8x = 5 + -45

Combine like terms: 5 + -45 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5

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