5x-3(2x-7)=11x+3

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Solution for 5x-3(2x-7)=11x+3 equation:


Simplifying
5x + -3(2x + -7) = 11x + 3

Reorder the terms:
5x + -3(-7 + 2x) = 11x + 3
5x + (-7 * -3 + 2x * -3) = 11x + 3
5x + (21 + -6x) = 11x + 3

Reorder the terms:
21 + 5x + -6x = 11x + 3

Combine like terms: 5x + -6x = -1x
21 + -1x = 11x + 3

Reorder the terms:
21 + -1x = 3 + 11x

Solving
21 + -1x = 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.
21 + -1x + -11x = 3 + 11x + -11x

Combine like terms: -1x + -11x = -12x
21 + -12x = 3 + 11x + -11x

Combine like terms: 11x + -11x = 0
21 + -12x = 3 + 0
21 + -12x = 3

Add '-21' to each side of the equation.
21 + -21 + -12x = 3 + -21

Combine like terms: 21 + -21 = 0
0 + -12x = 3 + -21
-12x = 3 + -21

Combine like terms: 3 + -21 = -18
-12x = -18

Divide each side by '-12'.
x = 1.5

Simplifying
x = 1.5

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