x+11=6(x-19)

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Solution for x+11=6(x-19) equation:


Simplifying
x + 11 = 6(x + -19)

Reorder the terms:
11 + x = 6(x + -19)

Reorder the terms:
11 + x = 6(-19 + x)
11 + x = (-19 * 6 + x * 6)
11 + x = (-114 + 6x)

Solving
11 + x = -114 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11 + x + -6x = -114 + 6x + -6x

Combine like terms: x + -6x = -5x
11 + -5x = -114 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + -5x = -114 + 0
11 + -5x = -114

Add '-11' to each side of the equation.
11 + -11 + -5x = -114 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = -114 + -11
-5x = -114 + -11

Combine like terms: -114 + -11 = -125
-5x = -125

Divide each side by '-5'.
x = 25

Simplifying
x = 25

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