3(x-5)-28=x+11

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Solution for 3(x-5)-28=x+11 equation:


Simplifying
3(x + -5) + -28 = x + 11

Reorder the terms:
3(-5 + x) + -28 = x + 11
(-5 * 3 + x * 3) + -28 = x + 11
(-15 + 3x) + -28 = x + 11

Reorder the terms:
-15 + -28 + 3x = x + 11

Combine like terms: -15 + -28 = -43
-43 + 3x = x + 11

Reorder the terms:
-43 + 3x = 11 + x

Solving
-43 + 3x = 11 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-43 + 3x + -1x = 11 + x + -1x

Combine like terms: 3x + -1x = 2x
-43 + 2x = 11 + x + -1x

Combine like terms: x + -1x = 0
-43 + 2x = 11 + 0
-43 + 2x = 11

Add '43' to each side of the equation.
-43 + 43 + 2x = 11 + 43

Combine like terms: -43 + 43 = 0
0 + 2x = 11 + 43
2x = 11 + 43

Combine like terms: 11 + 43 = 54
2x = 54

Divide each side by '2'.
x = 27

Simplifying
x = 27

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