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

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


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

Reorder the terms:
2 + -7(2 + x) = 8(x + -8)
2 + (2 * -7 + x * -7) = 8(x + -8)
2 + (-14 + -7x) = 8(x + -8)

Combine like terms: 2 + -14 = -12
-12 + -7x = 8(x + -8)

Reorder the terms:
-12 + -7x = 8(-8 + x)
-12 + -7x = (-8 * 8 + x * 8)
-12 + -7x = (-64 + 8x)

Solving
-12 + -7x = -64 + 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.
-12 + -7x + -8x = -64 + 8x + -8x

Combine like terms: -7x + -8x = -15x
-12 + -15x = -64 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + -15x = -64 + 0
-12 + -15x = -64

Add '12' to each side of the equation.
-12 + 12 + -15x = -64 + 12

Combine like terms: -12 + 12 = 0
0 + -15x = -64 + 12
-15x = -64 + 12

Combine like terms: -64 + 12 = -52
-15x = -52

Divide each side by '-15'.
x = 3.466666667

Simplifying
x = 3.466666667

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