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

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


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

Reorder the terms:
-6 = 2x + 3(5 + 4x)
-6 = 2x + (5 * 3 + 4x * 3)
-6 = 2x + (15 + 12x)

Reorder the terms:
-6 = 15 + 2x + 12x

Combine like terms: 2x + 12x = 14x
-6 = 15 + 14x

Solving
-6 = 15 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-6 + -14x = 15 + 14x + -14x

Combine like terms: 14x + -14x = 0
-6 + -14x = 15 + 0
-6 + -14x = 15

Add '6' to each side of the equation.
-6 + 6 + -14x = 15 + 6

Combine like terms: -6 + 6 = 0
0 + -14x = 15 + 6
-14x = 15 + 6

Combine like terms: 15 + 6 = 21
-14x = 21

Divide each side by '-14'.
x = -1.5

Simplifying
x = -1.5

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