2(4x+8)-3x=7x-2

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Solution for 2(4x+8)-3x=7x-2 equation:


Simplifying
2(4x + 8) + -3x = 7x + -2

Reorder the terms:
2(8 + 4x) + -3x = 7x + -2
(8 * 2 + 4x * 2) + -3x = 7x + -2
(16 + 8x) + -3x = 7x + -2

Combine like terms: 8x + -3x = 5x
16 + 5x = 7x + -2

Reorder the terms:
16 + 5x = -2 + 7x

Solving
16 + 5x = -2 + 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.
16 + 5x + -7x = -2 + 7x + -7x

Combine like terms: 5x + -7x = -2x
16 + -2x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -2x = -2 + 0
16 + -2x = -2

Add '-16' to each side of the equation.
16 + -16 + -2x = -2 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -2 + -16
-2x = -2 + -16

Combine like terms: -2 + -16 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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