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

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


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

Reorder the terms:
7(5 + x) + 3 = 6(x + 5)
(5 * 7 + x * 7) + 3 = 6(x + 5)
(35 + 7x) + 3 = 6(x + 5)

Reorder the terms:
35 + 3 + 7x = 6(x + 5)

Combine like terms: 35 + 3 = 38
38 + 7x = 6(x + 5)

Reorder the terms:
38 + 7x = 6(5 + x)
38 + 7x = (5 * 6 + x * 6)
38 + 7x = (30 + 6x)

Solving
38 + 7x = 30 + 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.
38 + 7x + -6x = 30 + 6x + -6x

Combine like terms: 7x + -6x = 1x
38 + 1x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
38 + 1x = 30 + 0
38 + 1x = 30

Add '-38' to each side of the equation.
38 + -38 + 1x = 30 + -38

Combine like terms: 38 + -38 = 0
0 + 1x = 30 + -38
1x = 30 + -38

Combine like terms: 30 + -38 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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