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

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


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

Reorder the terms:
7(-5 + x) = 10 + -1(x + 1)
(-5 * 7 + x * 7) = 10 + -1(x + 1)
(-35 + 7x) = 10 + -1(x + 1)

Reorder the terms:
-35 + 7x = 10 + -1(1 + x)
-35 + 7x = 10 + (1 * -1 + x * -1)
-35 + 7x = 10 + (-1 + -1x)

Combine like terms: 10 + -1 = 9
-35 + 7x = 9 + -1x

Solving
-35 + 7x = 9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-35 + 7x + x = 9 + -1x + x

Combine like terms: 7x + x = 8x
-35 + 8x = 9 + -1x + x

Combine like terms: -1x + x = 0
-35 + 8x = 9 + 0
-35 + 8x = 9

Add '35' to each side of the equation.
-35 + 35 + 8x = 9 + 35

Combine like terms: -35 + 35 = 0
0 + 8x = 9 + 35
8x = 9 + 35

Combine like terms: 9 + 35 = 44
8x = 44

Divide each side by '8'.
x = 5.5

Simplifying
x = 5.5

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