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

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Solution for 5-2(x+6)=10-7(x+1) equation:


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

Reorder the terms:
5 + -2(6 + x) = 10 + -7(x + 1)
5 + (6 * -2 + x * -2) = 10 + -7(x + 1)
5 + (-12 + -2x) = 10 + -7(x + 1)

Combine like terms: 5 + -12 = -7
-7 + -2x = 10 + -7(x + 1)

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

Combine like terms: 10 + -7 = 3
-7 + -2x = 3 + -7x

Solving
-7 + -2x = 3 + -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 + -2x + 7x = 3 + -7x + 7x

Combine like terms: -2x + 7x = 5x
-7 + 5x = 3 + -7x + 7x

Combine like terms: -7x + 7x = 0
-7 + 5x = 3 + 0
-7 + 5x = 3

Add '7' to each side of the equation.
-7 + 7 + 5x = 3 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 3 + 7
5x = 3 + 7

Combine like terms: 3 + 7 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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