1+8(x-3)=2-5(x-9)

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Solution for 1+8(x-3)=2-5(x-9) equation:


Simplifying
1 + 8(x + -3) = 2 + -5(x + -9)

Reorder the terms:
1 + 8(-3 + x) = 2 + -5(x + -9)
1 + (-3 * 8 + x * 8) = 2 + -5(x + -9)
1 + (-24 + 8x) = 2 + -5(x + -9)

Combine like terms: 1 + -24 = -23
-23 + 8x = 2 + -5(x + -9)

Reorder the terms:
-23 + 8x = 2 + -5(-9 + x)
-23 + 8x = 2 + (-9 * -5 + x * -5)
-23 + 8x = 2 + (45 + -5x)

Combine like terms: 2 + 45 = 47
-23 + 8x = 47 + -5x

Solving
-23 + 8x = 47 + -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.
-23 + 8x + 5x = 47 + -5x + 5x

Combine like terms: 8x + 5x = 13x
-23 + 13x = 47 + -5x + 5x

Combine like terms: -5x + 5x = 0
-23 + 13x = 47 + 0
-23 + 13x = 47

Add '23' to each side of the equation.
-23 + 23 + 13x = 47 + 23

Combine like terms: -23 + 23 = 0
0 + 13x = 47 + 23
13x = 47 + 23

Combine like terms: 47 + 23 = 70
13x = 70

Divide each side by '13'.
x = 5.384615385

Simplifying
x = 5.384615385

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