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

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


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

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

Remove parenthesis around (-3 + 4x)
3 = -3 + 4x + -5(6 + -3x)
3 = -3 + 4x + (6 * -5 + -3x * -5)
3 = -3 + 4x + (-30 + 15x)

Reorder the terms:
3 = -3 + -30 + 4x + 15x

Combine like terms: -3 + -30 = -33
3 = -33 + 4x + 15x

Combine like terms: 4x + 15x = 19x
3 = -33 + 19x

Solving
3 = -33 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
3 + -19x = -33 + 19x + -19x

Combine like terms: 19x + -19x = 0
3 + -19x = -33 + 0
3 + -19x = -33

Add '-3' to each side of the equation.
3 + -3 + -19x = -33 + -3

Combine like terms: 3 + -3 = 0
0 + -19x = -33 + -3
-19x = -33 + -3

Combine like terms: -33 + -3 = -36
-19x = -36

Divide each side by '-19'.
x = 1.894736842

Simplifying
x = 1.894736842

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