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

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


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

Reorder the terms:
3 = 4x + -3 + -5(-2 + 3x)
3 = 4x + -3 + (-2 * -5 + 3x * -5)
3 = 4x + -3 + (10 + -15x)

Reorder the terms:
3 = -3 + 10 + 4x + -15x

Combine like terms: -3 + 10 = 7
3 = 7 + 4x + -15x

Combine like terms: 4x + -15x = -11x
3 = 7 + -11x

Solving
3 = 7 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
3 + 11x = 7 + -11x + 11x

Combine like terms: -11x + 11x = 0
3 + 11x = 7 + 0
3 + 11x = 7

Add '-3' to each side of the equation.
3 + -3 + 11x = 7 + -3

Combine like terms: 3 + -3 = 0
0 + 11x = 7 + -3
11x = 7 + -3

Combine like terms: 7 + -3 = 4
11x = 4

Divide each side by '11'.
x = 0.3636363636

Simplifying
x = 0.3636363636

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