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

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


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

Reorder the terms:
3(3 + 5x) + -4 = 11x + -3
(3 * 3 + 5x * 3) + -4 = 11x + -3
(9 + 15x) + -4 = 11x + -3

Reorder the terms:
9 + -4 + 15x = 11x + -3

Combine like terms: 9 + -4 = 5
5 + 15x = 11x + -3

Reorder the terms:
5 + 15x = -3 + 11x

Solving
5 + 15x = -3 + 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.
5 + 15x + -11x = -3 + 11x + -11x

Combine like terms: 15x + -11x = 4x
5 + 4x = -3 + 11x + -11x

Combine like terms: 11x + -11x = 0
5 + 4x = -3 + 0
5 + 4x = -3

Add '-5' to each side of the equation.
5 + -5 + 4x = -3 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = -3 + -5
4x = -3 + -5

Combine like terms: -3 + -5 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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