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

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


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

Reorder the terms:
x + 2(-5 + 3x) = 7 + -4x
x + (-5 * 2 + 3x * 2) = 7 + -4x
x + (-10 + 6x) = 7 + -4x

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

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

Solving
-10 + 7x = 7 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-10 + 7x + 4x = 7 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-10 + 11x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + 11x = 7 + 0
-10 + 11x = 7

Add '10' to each side of the equation.
-10 + 10 + 11x = 7 + 10

Combine like terms: -10 + 10 = 0
0 + 11x = 7 + 10
11x = 7 + 10

Combine like terms: 7 + 10 = 17
11x = 17

Divide each side by '11'.
x = 1.545454545

Simplifying
x = 1.545454545

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