7x+8(8x+1)=-(2x-10)

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Solution for 7x+8(8x+1)=-(2x-10) equation:


Simplifying
7x + 8(8x + 1) = -1(2x + -10)

Reorder the terms:
7x + 8(1 + 8x) = -1(2x + -10)
7x + (1 * 8 + 8x * 8) = -1(2x + -10)
7x + (8 + 64x) = -1(2x + -10)

Reorder the terms:
8 + 7x + 64x = -1(2x + -10)

Combine like terms: 7x + 64x = 71x
8 + 71x = -1(2x + -10)

Reorder the terms:
8 + 71x = -1(-10 + 2x)
8 + 71x = (-10 * -1 + 2x * -1)
8 + 71x = (10 + -2x)

Solving
8 + 71x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
8 + 71x + 2x = 10 + -2x + 2x

Combine like terms: 71x + 2x = 73x
8 + 73x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + 73x = 10 + 0
8 + 73x = 10

Add '-8' to each side of the equation.
8 + -8 + 73x = 10 + -8

Combine like terms: 8 + -8 = 0
0 + 73x = 10 + -8
73x = 10 + -8

Combine like terms: 10 + -8 = 2
73x = 2

Divide each side by '73'.
x = 0.02739726027

Simplifying
x = 0.02739726027

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