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

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


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

Reorder the terms:
2(-3 + 5b) + -3(2b + 4) = 8
(-3 * 2 + 5b * 2) + -3(2b + 4) = 8
(-6 + 10b) + -3(2b + 4) = 8

Reorder the terms:
-6 + 10b + -3(4 + 2b) = 8
-6 + 10b + (4 * -3 + 2b * -3) = 8
-6 + 10b + (-12 + -6b) = 8

Reorder the terms:
-6 + -12 + 10b + -6b = 8

Combine like terms: -6 + -12 = -18
-18 + 10b + -6b = 8

Combine like terms: 10b + -6b = 4b
-18 + 4b = 8

Solving
-18 + 4b = 8

Solving for variable 'b'.

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

Add '18' to each side of the equation.
-18 + 18 + 4b = 8 + 18

Combine like terms: -18 + 18 = 0
0 + 4b = 8 + 18
4b = 8 + 18

Combine like terms: 8 + 18 = 26
4b = 26

Divide each side by '4'.
b = 6.5

Simplifying
b = 6.5

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