6(x+7)=5(x+8)

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Solution for 6(x+7)=5(x+8) equation:


Simplifying
6(x + 7) = 5(x + 8)

Reorder the terms:
6(7 + x) = 5(x + 8)
(7 * 6 + x * 6) = 5(x + 8)
(42 + 6x) = 5(x + 8)

Reorder the terms:
42 + 6x = 5(8 + x)
42 + 6x = (8 * 5 + x * 5)
42 + 6x = (40 + 5x)

Solving
42 + 6x = 40 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
42 + 6x + -5x = 40 + 5x + -5x

Combine like terms: 6x + -5x = 1x
42 + 1x = 40 + 5x + -5x

Combine like terms: 5x + -5x = 0
42 + 1x = 40 + 0
42 + 1x = 40

Add '-42' to each side of the equation.
42 + -42 + 1x = 40 + -42

Combine like terms: 42 + -42 = 0
0 + 1x = 40 + -42
1x = 40 + -42

Combine like terms: 40 + -42 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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