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

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Solution for 7+5(x-1)=5-5(x-3) equation:


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

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

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

Reorder the terms:
2 + 5x = 5 + -5(-3 + x)
2 + 5x = 5 + (-3 * -5 + x * -5)
2 + 5x = 5 + (15 + -5x)

Combine like terms: 5 + 15 = 20
2 + 5x = 20 + -5x

Solving
2 + 5x = 20 + -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.
2 + 5x + 5x = 20 + -5x + 5x

Combine like terms: 5x + 5x = 10x
2 + 10x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 10x = 20 + 0
2 + 10x = 20

Add '-2' to each side of the equation.
2 + -2 + 10x = 20 + -2

Combine like terms: 2 + -2 = 0
0 + 10x = 20 + -2
10x = 20 + -2

Combine like terms: 20 + -2 = 18
10x = 18

Divide each side by '10'.
x = 1.8

Simplifying
x = 1.8

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