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

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


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

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

Reorder the terms:
-15 + 3x = 10x + -2(6 + x)
-15 + 3x = 10x + (6 * -2 + x * -2)
-15 + 3x = 10x + (-12 + -2x)

Reorder the terms:
-15 + 3x = -12 + 10x + -2x

Combine like terms: 10x + -2x = 8x
-15 + 3x = -12 + 8x

Solving
-15 + 3x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-15 + 3x + -8x = -12 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-15 + -5x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-15 + -5x = -12 + 0
-15 + -5x = -12

Add '15' to each side of the equation.
-15 + 15 + -5x = -12 + 15

Combine like terms: -15 + 15 = 0
0 + -5x = -12 + 15
-5x = -12 + 15

Combine like terms: -12 + 15 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

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