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

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


Simplifying
7 + -1(x + -3) = 5(2 + -1x)

Reorder the terms:
7 + -1(-3 + x) = 5(2 + -1x)
7 + (-3 * -1 + x * -1) = 5(2 + -1x)
7 + (3 + -1x) = 5(2 + -1x)

Combine like terms: 7 + 3 = 10
10 + -1x = 5(2 + -1x)
10 + -1x = (2 * 5 + -1x * 5)
10 + -1x = (10 + -5x)

Add '-10' to each side of the equation.
10 + -10 + -1x = 10 + -10 + -5x

Combine like terms: 10 + -10 = 0
0 + -1x = 10 + -10 + -5x
-1x = 10 + -10 + -5x

Combine like terms: 10 + -10 = 0
-1x = 0 + -5x
-1x = -5x

Solving
-1x = -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.
-1x + 5x = -5x + 5x

Combine like terms: -1x + 5x = 4x
4x = -5x + 5x

Combine like terms: -5x + 5x = 0
4x = 0

Divide each side by '4'.
x = 0

Simplifying
x = 0

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