3(4x-6)+5=-2x-(10x+11)

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Solution for 3(4x-6)+5=-2x-(10x+11) equation:


Simplifying
3(4x + -6) + 5 = -2x + -1(10x + 11)

Reorder the terms:
3(-6 + 4x) + 5 = -2x + -1(10x + 11)
(-6 * 3 + 4x * 3) + 5 = -2x + -1(10x + 11)
(-18 + 12x) + 5 = -2x + -1(10x + 11)

Reorder the terms:
-18 + 5 + 12x = -2x + -1(10x + 11)

Combine like terms: -18 + 5 = -13
-13 + 12x = -2x + -1(10x + 11)

Reorder the terms:
-13 + 12x = -2x + -1(11 + 10x)
-13 + 12x = -2x + (11 * -1 + 10x * -1)
-13 + 12x = -2x + (-11 + -10x)

Reorder the terms:
-13 + 12x = -11 + -2x + -10x

Combine like terms: -2x + -10x = -12x
-13 + 12x = -11 + -12x

Solving
-13 + 12x = -11 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-13 + 12x + 12x = -11 + -12x + 12x

Combine like terms: 12x + 12x = 24x
-13 + 24x = -11 + -12x + 12x

Combine like terms: -12x + 12x = 0
-13 + 24x = -11 + 0
-13 + 24x = -11

Add '13' to each side of the equation.
-13 + 13 + 24x = -11 + 13

Combine like terms: -13 + 13 = 0
0 + 24x = -11 + 13
24x = -11 + 13

Combine like terms: -11 + 13 = 2
24x = 2

Divide each side by '24'.
x = 0.08333333333

Simplifying
x = 0.08333333333

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