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

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


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

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

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

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

Solving
-35 + 2x = 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 + 2x + 2x = 11 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-35 + 4x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
-35 + 4x = 11 + 0
-35 + 4x = 11

Add '35' to each side of the equation.
-35 + 35 + 4x = 11 + 35

Combine like terms: -35 + 35 = 0
0 + 4x = 11 + 35
4x = 11 + 35

Combine like terms: 11 + 35 = 46
4x = 46

Divide each side by '4'.
x = 11.5

Simplifying
x = 11.5

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