10(2+x)=15(x-1)+6

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Solution for 10(2+x)=15(x-1)+6 equation:


Simplifying
10(2 + x) = 15(x + -1) + 6
(2 * 10 + x * 10) = 15(x + -1) + 6
(20 + 10x) = 15(x + -1) + 6

Reorder the terms:
20 + 10x = 15(-1 + x) + 6
20 + 10x = (-1 * 15 + x * 15) + 6
20 + 10x = (-15 + 15x) + 6

Reorder the terms:
20 + 10x = -15 + 6 + 15x

Combine like terms: -15 + 6 = -9
20 + 10x = -9 + 15x

Solving
20 + 10x = -9 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
20 + 10x + -15x = -9 + 15x + -15x

Combine like terms: 10x + -15x = -5x
20 + -5x = -9 + 15x + -15x

Combine like terms: 15x + -15x = 0
20 + -5x = -9 + 0
20 + -5x = -9

Add '-20' to each side of the equation.
20 + -20 + -5x = -9 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -9 + -20
-5x = -9 + -20

Combine like terms: -9 + -20 = -29
-5x = -29

Divide each side by '-5'.
x = 5.8

Simplifying
x = 5.8

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