6-7x=10(2-x)-4

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Solution for 6-7x=10(2-x)-4 equation:


Simplifying
6 + -7x = 10(2 + -1x) + -4
6 + -7x = (2 * 10 + -1x * 10) + -4
6 + -7x = (20 + -10x) + -4

Reorder the terms:
6 + -7x = 20 + -4 + -10x

Combine like terms: 20 + -4 = 16
6 + -7x = 16 + -10x

Solving
6 + -7x = 16 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
6 + -7x + 10x = 16 + -10x + 10x

Combine like terms: -7x + 10x = 3x
6 + 3x = 16 + -10x + 10x

Combine like terms: -10x + 10x = 0
6 + 3x = 16 + 0
6 + 3x = 16

Add '-6' to each side of the equation.
6 + -6 + 3x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 16 + -6
3x = 16 + -6

Combine like terms: 16 + -6 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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