3(4-2x)+7x=2(x-5)

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Solution for 3(4-2x)+7x=2(x-5) equation: 


Simplifying
3(4 + -2x) + 7x = 2(x + -5)
(4 * 3 + -2x * 3) + 7x = 2(x + -5)
(12 + -6x) + 7x = 2(x + -5)

Combine like terms: -6x + 7x = 1x
12 + 1x = 2(x + -5)

Reorder the terms:
12 + 1x = 2(-5 + x)
12 + 1x = (-5 * 2 + x * 2)
12 + 1x = (-10 + 2x)

Solving
12 + 1x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + 1x + -2x = -10 + 2x + -2x

Combine like terms: 1x + -2x = -1x
12 + -1x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -1x = -10 + 0
12 + -1x = -10

Add '-12' to each side of the equation.
12 + -12 + -1x = -10 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -10 + -12
-1x = -10 + -12

Combine like terms: -10 + -12 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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