3(2x-5)+11=-9x-10

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Solution for 3(2x-5)+11=-9x-10 equation:


Simplifying
3(2x + -5) + 11 = -9x + -10

Reorder the terms:
3(-5 + 2x) + 11 = -9x + -10
(-5 * 3 + 2x * 3) + 11 = -9x + -10
(-15 + 6x) + 11 = -9x + -10

Reorder the terms:
-15 + 11 + 6x = -9x + -10

Combine like terms: -15 + 11 = -4
-4 + 6x = -9x + -10

Reorder the terms:
-4 + 6x = -10 + -9x

Solving
-4 + 6x = -10 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-4 + 6x + 9x = -10 + -9x + 9x

Combine like terms: 6x + 9x = 15x
-4 + 15x = -10 + -9x + 9x

Combine like terms: -9x + 9x = 0
-4 + 15x = -10 + 0
-4 + 15x = -10

Add '4' to each side of the equation.
-4 + 4 + 15x = -10 + 4

Combine like terms: -4 + 4 = 0
0 + 15x = -10 + 4
15x = -10 + 4

Combine like terms: -10 + 4 = -6
15x = -6

Divide each side by '15'.
x = -0.4

Simplifying
x = -0.4

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