4x-11=2(x-3x)+13

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Solution for 4x-11=2(x-3x)+13 equation:


Simplifying
4x + -11 = 2(x + -3x) + 13

Reorder the terms:
-11 + 4x = 2(x + -3x) + 13

Combine like terms: x + -3x = -2x
-11 + 4x = 2(-2x) + 13

Remove parenthesis around (-2x)
-11 + 4x = 2 * -2x + 13

Multiply 2 * -2
-11 + 4x = -4x + 13

Reorder the terms:
-11 + 4x = 13 + -4x

Solving
-11 + 4x = 13 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-11 + 4x + 4x = 13 + -4x + 4x

Combine like terms: 4x + 4x = 8x
-11 + 8x = 13 + -4x + 4x

Combine like terms: -4x + 4x = 0
-11 + 8x = 13 + 0
-11 + 8x = 13

Add '11' to each side of the equation.
-11 + 11 + 8x = 13 + 11

Combine like terms: -11 + 11 = 0
0 + 8x = 13 + 11
8x = 13 + 11

Combine like terms: 13 + 11 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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