7+7(x-7)=2-8(x-9)

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Solution for 7+7(x-7)=2-8(x-9) equation:


Simplifying
7 + 7(x + -7) = 2 + -8(x + -9)

Reorder the terms:
7 + 7(-7 + x) = 2 + -8(x + -9)
7 + (-7 * 7 + x * 7) = 2 + -8(x + -9)
7 + (-49 + 7x) = 2 + -8(x + -9)

Combine like terms: 7 + -49 = -42
-42 + 7x = 2 + -8(x + -9)

Reorder the terms:
-42 + 7x = 2 + -8(-9 + x)
-42 + 7x = 2 + (-9 * -8 + x * -8)
-42 + 7x = 2 + (72 + -8x)

Combine like terms: 2 + 72 = 74
-42 + 7x = 74 + -8x

Solving
-42 + 7x = 74 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-42 + 7x + 8x = 74 + -8x + 8x

Combine like terms: 7x + 8x = 15x
-42 + 15x = 74 + -8x + 8x

Combine like terms: -8x + 8x = 0
-42 + 15x = 74 + 0
-42 + 15x = 74

Add '42' to each side of the equation.
-42 + 42 + 15x = 74 + 42

Combine like terms: -42 + 42 = 0
0 + 15x = 74 + 42
15x = 74 + 42

Combine like terms: 74 + 42 = 116
15x = 116

Divide each side by '15'.
x = 7.733333333

Simplifying
x = 7.733333333

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