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

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


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

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

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

Reorder the terms:
20 + 15 + 12x + -20x = 3

Combine like terms: 20 + 15 = 35
35 + 12x + -20x = 3

Combine like terms: 12x + -20x = -8x
35 + -8x = 3

Solving
35 + -8x = 3

Solving for variable 'x'.

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

Add '-35' to each side of the equation.
35 + -35 + -8x = 3 + -35

Combine like terms: 35 + -35 = 0
0 + -8x = 3 + -35
-8x = 3 + -35

Combine like terms: 3 + -35 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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