10x+7=7(x+2)-1

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Solution for 10x+7=7(x+2)-1 equation:


Simplifying
10x + 7 = 7(x + 2) + -1

Reorder the terms:
7 + 10x = 7(x + 2) + -1

Reorder the terms:
7 + 10x = 7(2 + x) + -1
7 + 10x = (2 * 7 + x * 7) + -1
7 + 10x = (14 + 7x) + -1

Reorder the terms:
7 + 10x = 14 + -1 + 7x

Combine like terms: 14 + -1 = 13
7 + 10x = 13 + 7x

Solving
7 + 10x = 13 + 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.
7 + 10x + -7x = 13 + 7x + -7x

Combine like terms: 10x + -7x = 3x
7 + 3x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
7 + 3x = 13 + 0
7 + 3x = 13

Add '-7' to each side of the equation.
7 + -7 + 3x = 13 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 13 + -7
3x = 13 + -7

Combine like terms: 13 + -7 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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