7+7(x-5)=10-9(x-2)

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Solution for 7+7(x-5)=10-9(x-2) equation:


Simplifying
7 + 7(x + -5) = 10 + -9(x + -2)

Reorder the terms:
7 + 7(-5 + x) = 10 + -9(x + -2)
7 + (-5 * 7 + x * 7) = 10 + -9(x + -2)
7 + (-35 + 7x) = 10 + -9(x + -2)

Combine like terms: 7 + -35 = -28
-28 + 7x = 10 + -9(x + -2)

Reorder the terms:
-28 + 7x = 10 + -9(-2 + x)
-28 + 7x = 10 + (-2 * -9 + x * -9)
-28 + 7x = 10 + (18 + -9x)

Combine like terms: 10 + 18 = 28
-28 + 7x = 28 + -9x

Solving
-28 + 7x = 28 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-28 + 7x + 9x = 28 + -9x + 9x

Combine like terms: 7x + 9x = 16x
-28 + 16x = 28 + -9x + 9x

Combine like terms: -9x + 9x = 0
-28 + 16x = 28 + 0
-28 + 16x = 28

Add '28' to each side of the equation.
-28 + 28 + 16x = 28 + 28

Combine like terms: -28 + 28 = 0
0 + 16x = 28 + 28
16x = 28 + 28

Combine like terms: 28 + 28 = 56
16x = 56

Divide each side by '16'.
x = 3.5

Simplifying
x = 3.5

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