7+5(x-2)=8-5(x-1)

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Solution for 7+5(x-2)=8-5(x-1) equation:


Simplifying
7 + 5(x + -2) = 8 + -5(x + -1)

Reorder the terms:
7 + 5(-2 + x) = 8 + -5(x + -1)
7 + (-2 * 5 + x * 5) = 8 + -5(x + -1)
7 + (-10 + 5x) = 8 + -5(x + -1)

Combine like terms: 7 + -10 = -3
-3 + 5x = 8 + -5(x + -1)

Reorder the terms:
-3 + 5x = 8 + -5(-1 + x)
-3 + 5x = 8 + (-1 * -5 + x * -5)
-3 + 5x = 8 + (5 + -5x)

Combine like terms: 8 + 5 = 13
-3 + 5x = 13 + -5x

Solving
-3 + 5x = 13 + -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.
-3 + 5x + 5x = 13 + -5x + 5x

Combine like terms: 5x + 5x = 10x
-3 + 10x = 13 + -5x + 5x

Combine like terms: -5x + 5x = 0
-3 + 10x = 13 + 0
-3 + 10x = 13

Add '3' to each side of the equation.
-3 + 3 + 10x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = 13 + 3
10x = 13 + 3

Combine like terms: 13 + 3 = 16
10x = 16

Divide each side by '10'.
x = 1.6

Simplifying
x = 1.6

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