2(8x-5)=11(x-15)

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Solution for 2(8x-5)=11(x-15) equation:


Simplifying
2(8x + -5) = 11(x + -15)

Reorder the terms:
2(-5 + 8x) = 11(x + -15)
(-5 * 2 + 8x * 2) = 11(x + -15)
(-10 + 16x) = 11(x + -15)

Reorder the terms:
-10 + 16x = 11(-15 + x)
-10 + 16x = (-15 * 11 + x * 11)
-10 + 16x = (-165 + 11x)

Solving
-10 + 16x = -165 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-10 + 16x + -11x = -165 + 11x + -11x

Combine like terms: 16x + -11x = 5x
-10 + 5x = -165 + 11x + -11x

Combine like terms: 11x + -11x = 0
-10 + 5x = -165 + 0
-10 + 5x = -165

Add '10' to each side of the equation.
-10 + 10 + 5x = -165 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = -165 + 10
5x = -165 + 10

Combine like terms: -165 + 10 = -155
5x = -155

Divide each side by '5'.
x = -31

Simplifying
x = -31

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