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

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


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

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

Reorder the terms:
10 + 5x = x + 6(-3 + x)
10 + 5x = x + (-3 * 6 + x * 6)
10 + 5x = x + (-18 + 6x)

Reorder the terms:
10 + 5x = -18 + x + 6x

Combine like terms: x + 6x = 7x
10 + 5x = -18 + 7x

Solving
10 + 5x = -18 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
10 + 5x + -7x = -18 + 7x + -7x

Combine like terms: 5x + -7x = -2x
10 + -2x = -18 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 + -2x = -18 + 0
10 + -2x = -18

Add '-10' to each side of the equation.
10 + -10 + -2x = -18 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -18 + -10
-2x = -18 + -10

Combine like terms: -18 + -10 = -28
-2x = -28

Divide each side by '-2'.
x = 14

Simplifying
x = 14

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