(4x)7=(5x-2)3

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Solution for (4x)7=(5x-2)3 equation:


Simplifying
(4x) * 7 = (5x + -2) * 3

Remove parenthesis around (4x)
4x * 7 = (5x + -2) * 3

Reorder the terms for easier multiplication:
4 * 7x = (5x + -2) * 3

Multiply 4 * 7
28x = (5x + -2) * 3

Reorder the terms:
28x = (-2 + 5x) * 3

Reorder the terms for easier multiplication:
28x = 3(-2 + 5x)
28x = (-2 * 3 + 5x * 3)
28x = (-6 + 15x)

Solving
28x = -6 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
28x + -15x = -6 + 15x + -15x

Combine like terms: 28x + -15x = 13x
13x = -6 + 15x + -15x

Combine like terms: 15x + -15x = 0
13x = -6 + 0
13x = -6

Divide each side by '13'.
x = -0.4615384615

Simplifying
x = -0.4615384615

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