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

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


Simplifying
2(3x + 8) + -1x = 7x + 4

Reorder the terms:
2(8 + 3x) + -1x = 7x + 4
(8 * 2 + 3x * 2) + -1x = 7x + 4
(16 + 6x) + -1x = 7x + 4

Combine like terms: 6x + -1x = 5x
16 + 5x = 7x + 4

Reorder the terms:
16 + 5x = 4 + 7x

Solving
16 + 5x = 4 + 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 = 4 + 7x + -7x

Combine like terms: 5x + -7x = -2x
16 + -2x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -2x = 4 + 0
16 + -2x = 4

Add '-16' to each side of the equation.
16 + -16 + -2x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 4 + -16
-2x = 4 + -16

Combine like terms: 4 + -16 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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