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

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


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

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

Reorder the terms for easier multiplication:
5(3 + 4x) = (7x + -3) * 6
(3 * 5 + 4x * 5) = (7x + -3) * 6
(15 + 20x) = (7x + -3) * 6

Reorder the terms:
15 + 20x = (-3 + 7x) * 6

Reorder the terms for easier multiplication:
15 + 20x = 6(-3 + 7x)
15 + 20x = (-3 * 6 + 7x * 6)
15 + 20x = (-18 + 42x)

Solving
15 + 20x = -18 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
15 + 20x + -42x = -18 + 42x + -42x

Combine like terms: 20x + -42x = -22x
15 + -22x = -18 + 42x + -42x

Combine like terms: 42x + -42x = 0
15 + -22x = -18 + 0
15 + -22x = -18

Add '-15' to each side of the equation.
15 + -15 + -22x = -18 + -15

Combine like terms: 15 + -15 = 0
0 + -22x = -18 + -15
-22x = -18 + -15

Combine like terms: -18 + -15 = -33
-22x = -33

Divide each side by '-22'.
x = 1.5

Simplifying
x = 1.5

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