7x+8=6(x+3)-5

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Solution for 7x+8=6(x+3)-5 equation:


Simplifying
7x + 8 = 6(x + 3) + -5

Reorder the terms:
8 + 7x = 6(x + 3) + -5

Reorder the terms:
8 + 7x = 6(3 + x) + -5
8 + 7x = (3 * 6 + x * 6) + -5
8 + 7x = (18 + 6x) + -5

Reorder the terms:
8 + 7x = 18 + -5 + 6x

Combine like terms: 18 + -5 = 13
8 + 7x = 13 + 6x

Solving
8 + 7x = 13 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 7x + -6x = 13 + 6x + -6x

Combine like terms: 7x + -6x = 1x
8 + 1x = 13 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + 1x = 13 + 0
8 + 1x = 13

Add '-8' to each side of the equation.
8 + -8 + 1x = 13 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 13 + -8
1x = 13 + -8

Combine like terms: 13 + -8 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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