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

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


Simplifying
7(2 + -1x) = -5x + 2
(2 * 7 + -1x * 7) = -5x + 2
(14 + -7x) = -5x + 2

Reorder the terms:
14 + -7x = 2 + -5x

Solving
14 + -7x = 2 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
14 + -7x + 5x = 2 + -5x + 5x

Combine like terms: -7x + 5x = -2x
14 + -2x = 2 + -5x + 5x

Combine like terms: -5x + 5x = 0
14 + -2x = 2 + 0
14 + -2x = 2

Add '-14' to each side of the equation.
14 + -14 + -2x = 2 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = 2 + -14
-2x = 2 + -14

Combine like terms: 2 + -14 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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