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

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


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

Reorder the terms:
x + -3(5 + x) = 2x + -11
x + (5 * -3 + x * -3) = 2x + -11
x + (-15 + -3x) = 2x + -11

Reorder the terms:
-15 + x + -3x = 2x + -11

Combine like terms: x + -3x = -2x
-15 + -2x = 2x + -11

Reorder the terms:
-15 + -2x = -11 + 2x

Solving
-15 + -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.
-15 + -2x + -2x = -11 + 2x + -2x

Combine like terms: -2x + -2x = -4x
-15 + -4x = -11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + -4x = -11 + 0
-15 + -4x = -11

Add '15' to each side of the equation.
-15 + 15 + -4x = -11 + 15

Combine like terms: -15 + 15 = 0
0 + -4x = -11 + 15
-4x = -11 + 15

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

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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