6x+11=4(x-3)

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Solution for 6x+11=4(x-3) equation:


Simplifying
6x + 11 = 4(x + -3)

Reorder the terms:
11 + 6x = 4(x + -3)

Reorder the terms:
11 + 6x = 4(-3 + x)
11 + 6x = (-3 * 4 + x * 4)
11 + 6x = (-12 + 4x)

Solving
11 + 6x = -12 + 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 + 6x + -4x = -12 + 4x + -4x

Combine like terms: 6x + -4x = 2x
11 + 2x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + 2x = -12 + 0
11 + 2x = -12

Add '-11' to each side of the equation.
11 + -11 + 2x = -12 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = -12 + -11
2x = -12 + -11

Combine like terms: -12 + -11 = -23
2x = -23

Divide each side by '2'.
x = -11.5

Simplifying
x = -11.5

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