2(x-5)=7-4x

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


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

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

Solving
-10 + 2x = 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 + 2x + 4x = 7 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-10 + 6x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + 6x = 7 + 0
-10 + 6x = 7

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

Combine like terms: -10 + 10 = 0
0 + 6x = 7 + 10
6x = 7 + 10

Combine like terms: 7 + 10 = 17
6x = 17

Divide each side by '6'.
x = 2.833333333

Simplifying
x = 2.833333333

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