2(1+4x)=7(x-5)

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Solution for 2(1+4x)=7(x-5) equation:


Simplifying
2(1 + 4x) = 7(x + -5)
(1 * 2 + 4x * 2) = 7(x + -5)
(2 + 8x) = 7(x + -5)

Reorder the terms:
2 + 8x = 7(-5 + x)
2 + 8x = (-5 * 7 + x * 7)
2 + 8x = (-35 + 7x)

Solving
2 + 8x = -35 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 8x + -7x = -35 + 7x + -7x

Combine like terms: 8x + -7x = 1x
2 + 1x = -35 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + 1x = -35 + 0
2 + 1x = -35

Add '-2' to each side of the equation.
2 + -2 + 1x = -35 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -35 + -2
1x = -35 + -2

Combine like terms: -35 + -2 = -37
1x = -37

Divide each side by '1'.
x = -37

Simplifying
x = -37

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