2x+2(8x+7)=8(1+3x)

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Solution for 2x+2(8x+7)=8(1+3x) equation:


Simplifying
2x + 2(8x + 7) = 8(1 + 3x)

Reorder the terms:
2x + 2(7 + 8x) = 8(1 + 3x)
2x + (7 * 2 + 8x * 2) = 8(1 + 3x)
2x + (14 + 16x) = 8(1 + 3x)

Reorder the terms:
14 + 2x + 16x = 8(1 + 3x)

Combine like terms: 2x + 16x = 18x
14 + 18x = 8(1 + 3x)
14 + 18x = (1 * 8 + 3x * 8)
14 + 18x = (8 + 24x)

Solving
14 + 18x = 8 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
14 + 18x + -24x = 8 + 24x + -24x

Combine like terms: 18x + -24x = -6x
14 + -6x = 8 + 24x + -24x

Combine like terms: 24x + -24x = 0
14 + -6x = 8 + 0
14 + -6x = 8

Add '-14' to each side of the equation.
14 + -14 + -6x = 8 + -14

Combine like terms: 14 + -14 = 0
0 + -6x = 8 + -14
-6x = 8 + -14

Combine like terms: 8 + -14 = -6
-6x = -6

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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