7-x=3(5-x)

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


Simplifying
7 + -1x = 3(5 + -1x)
7 + -1x = (5 * 3 + -1x * 3)
7 + -1x = (15 + -3x)

Solving
7 + -1x = 15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
7 + -1x + 3x = 15 + -3x + 3x

Combine like terms: -1x + 3x = 2x
7 + 2x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + 2x = 15 + 0
7 + 2x = 15

Add '-7' to each side of the equation.
7 + -7 + 2x = 15 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 15 + -7
2x = 15 + -7

Combine like terms: 15 + -7 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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