6(x+5)=5x+2(x+4)

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Solution for 6(x+5)=5x+2(x+4) equation:


Simplifying
6(x + 5) = 5x + 2(x + 4)

Reorder the terms:
6(5 + x) = 5x + 2(x + 4)
(5 * 6 + x * 6) = 5x + 2(x + 4)
(30 + 6x) = 5x + 2(x + 4)

Reorder the terms:
30 + 6x = 5x + 2(4 + x)
30 + 6x = 5x + (4 * 2 + x * 2)
30 + 6x = 5x + (8 + 2x)

Reorder the terms:
30 + 6x = 8 + 5x + 2x

Combine like terms: 5x + 2x = 7x
30 + 6x = 8 + 7x

Solving
30 + 6x = 8 + 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.
30 + 6x + -7x = 8 + 7x + -7x

Combine like terms: 6x + -7x = -1x
30 + -1x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
30 + -1x = 8 + 0
30 + -1x = 8

Add '-30' to each side of the equation.
30 + -30 + -1x = 8 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 8 + -30
-1x = 8 + -30

Combine like terms: 8 + -30 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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