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

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


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

Reorder the terms:
3 + 7x = 2(-5 + 4x) + x
3 + 7x = (-5 * 2 + 4x * 2) + x
3 + 7x = (-10 + 8x) + x

Combine like terms: 8x + x = 9x
3 + 7x = -10 + 9x

Solving
3 + 7x = -10 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
3 + 7x + -9x = -10 + 9x + -9x

Combine like terms: 7x + -9x = -2x
3 + -2x = -10 + 9x + -9x

Combine like terms: 9x + -9x = 0
3 + -2x = -10 + 0
3 + -2x = -10

Add '-3' to each side of the equation.
3 + -3 + -2x = -10 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -10 + -3
-2x = -10 + -3

Combine like terms: -10 + -3 = -13
-2x = -13

Divide each side by '-2'.
x = 6.5

Simplifying
x = 6.5

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