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

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


Simplifying
7(5 + -1x) = 2(7 + -1x)
(5 * 7 + -1x * 7) = 2(7 + -1x)
(35 + -7x) = 2(7 + -1x)
35 + -7x = (7 * 2 + -1x * 2)
35 + -7x = (14 + -2x)

Solving
35 + -7x = 14 + -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.
35 + -7x + 2x = 14 + -2x + 2x

Combine like terms: -7x + 2x = -5x
35 + -5x = 14 + -2x + 2x

Combine like terms: -2x + 2x = 0
35 + -5x = 14 + 0
35 + -5x = 14

Add '-35' to each side of the equation.
35 + -35 + -5x = 14 + -35

Combine like terms: 35 + -35 = 0
0 + -5x = 14 + -35
-5x = 14 + -35

Combine like terms: 14 + -35 = -21
-5x = -21

Divide each side by '-5'.
x = 4.2

Simplifying
x = 4.2

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