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

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


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

Reorder the terms:
3x + 5(-7 + x) = 2x + 11
3x + (-7 * 5 + x * 5) = 2x + 11
3x + (-35 + 5x) = 2x + 11

Reorder the terms:
-35 + 3x + 5x = 2x + 11

Combine like terms: 3x + 5x = 8x
-35 + 8x = 2x + 11

Reorder the terms:
-35 + 8x = 11 + 2x

Solving
-35 + 8x = 11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-35 + 8x + -2x = 11 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-35 + 6x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-35 + 6x = 11 + 0
-35 + 6x = 11

Add '35' to each side of the equation.
-35 + 35 + 6x = 11 + 35

Combine like terms: -35 + 35 = 0
0 + 6x = 11 + 35
6x = 11 + 35

Combine like terms: 11 + 35 = 46
6x = 46

Divide each side by '6'.
x = 7.666666667

Simplifying
x = 7.666666667

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