2+3(x-3)=5-8(x-4)

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Solution for 2+3(x-3)=5-8(x-4) equation: 


Simplifying
2 + 3(x + -3) = 5 + -8(x + -4)

Reorder the terms:
2 + 3(-3 + x) = 5 + -8(x + -4)
2 + (-3 * 3 + x * 3) = 5 + -8(x + -4)
2 + (-9 + 3x) = 5 + -8(x + -4)

Combine like terms: 2 + -9 = -7
-7 + 3x = 5 + -8(x + -4)

Reorder the terms:
-7 + 3x = 5 + -8(-4 + x)
-7 + 3x = 5 + (-4 * -8 + x * -8)
-7 + 3x = 5 + (32 + -8x)

Combine like terms: 5 + 32 = 37
-7 + 3x = 37 + -8x

Solving
-7 + 3x = 37 + -8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8x' to each side of the equation.
-7 + 3x + 8x = 37 + -8x + 8x

Combine like terms: 3x + 8x = 11x
-7 + 11x = 37 + -8x + 8x

Combine like terms: -8x + 8x = 0
-7 + 11x = 37 + 0
-7 + 11x = 37

Add '7' to each side of the equation.
-7 + 7 + 11x = 37 + 7

Combine like terms: -7 + 7 = 0
0 + 11x = 37 + 7
11x = 37 + 7

Combine like terms: 37 + 7 = 44
11x = 44

Divide each side by '11'.
x = 4

Simplifying
x = 4

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