7x+2=10-(6x+5)

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Solution for 7x+2=10-(6x+5) equation:


Simplifying
7x + 2 = 10 + -1(6x + 5)

Reorder the terms:
2 + 7x = 10 + -1(6x + 5)

Reorder the terms:
2 + 7x = 10 + -1(5 + 6x)
2 + 7x = 10 + (5 * -1 + 6x * -1)
2 + 7x = 10 + (-5 + -6x)

Combine like terms: 10 + -5 = 5
2 + 7x = 5 + -6x

Solving
2 + 7x = 5 + -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.
2 + 7x + 6x = 5 + -6x + 6x

Combine like terms: 7x + 6x = 13x
2 + 13x = 5 + -6x + 6x

Combine like terms: -6x + 6x = 0
2 + 13x = 5 + 0
2 + 13x = 5

Add '-2' to each side of the equation.
2 + -2 + 13x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 13x = 5 + -2
13x = 5 + -2

Combine like terms: 5 + -2 = 3
13x = 3

Divide each side by '13'.
x = 0.2307692308

Simplifying
x = 0.2307692308

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