2(x-8)+7x=5x-4

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Solution for 2(x-8)+7x=5x-4 equation:


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

Reorder the terms:
2(-8 + x) + 7x = 5x + -4
(-8 * 2 + x * 2) + 7x = 5x + -4
(-16 + 2x) + 7x = 5x + -4

Combine like terms: 2x + 7x = 9x
-16 + 9x = 5x + -4

Reorder the terms:
-16 + 9x = -4 + 5x

Solving
-16 + 9x = -4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-16 + 9x + -5x = -4 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-16 + 4x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + 4x = -4 + 0
-16 + 4x = -4

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

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

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

Divide each side by '4'.
x = 3

Simplifying
x = 3

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