3(5x-2)=(4x+11)

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Solution for 3(5x-2)=(4x+11) equation:


Simplifying
3(5x + -2) = (4x + 11)

Reorder the terms:
3(-2 + 5x) = (4x + 11)
(-2 * 3 + 5x * 3) = (4x + 11)
(-6 + 15x) = (4x + 11)

Reorder the terms:
-6 + 15x = (11 + 4x)

Remove parenthesis around (11 + 4x)
-6 + 15x = 11 + 4x

Solving
-6 + 15x = 11 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 15x + -4x = 11 + 4x + -4x

Combine like terms: 15x + -4x = 11x
-6 + 11x = 11 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 11x = 11 + 0
-6 + 11x = 11

Add '6' to each side of the equation.
-6 + 6 + 11x = 11 + 6

Combine like terms: -6 + 6 = 0
0 + 11x = 11 + 6
11x = 11 + 6

Combine like terms: 11 + 6 = 17
11x = 17

Divide each side by '11'.
x = 1.545454545

Simplifying
x = 1.545454545

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