5+8(x-1)=5-2(x-9)

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Solution for 5+8(x-1)=5-2(x-9) equation:


Simplifying
5 + 8(x + -1) = 5 + -2(x + -9)

Reorder the terms:
5 + 8(-1 + x) = 5 + -2(x + -9)
5 + (-1 * 8 + x * 8) = 5 + -2(x + -9)
5 + (-8 + 8x) = 5 + -2(x + -9)

Combine like terms: 5 + -8 = -3
-3 + 8x = 5 + -2(x + -9)

Reorder the terms:
-3 + 8x = 5 + -2(-9 + x)
-3 + 8x = 5 + (-9 * -2 + x * -2)
-3 + 8x = 5 + (18 + -2x)

Combine like terms: 5 + 18 = 23
-3 + 8x = 23 + -2x

Solving
-3 + 8x = 23 + -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.
-3 + 8x + 2x = 23 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-3 + 10x = 23 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 10x = 23 + 0
-3 + 10x = 23

Add '3' to each side of the equation.
-3 + 3 + 10x = 23 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = 23 + 3
10x = 23 + 3

Combine like terms: 23 + 3 = 26
10x = 26

Divide each side by '10'.
x = 2.6

Simplifying
x = 2.6

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