-7(b-2)=4(b-3)

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Solution for -7(b-2)=4(b-3) equation:


Simplifying
-7(b + -2) = 4(b + -3)

Reorder the terms:
-7(-2 + b) = 4(b + -3)
(-2 * -7 + b * -7) = 4(b + -3)
(14 + -7b) = 4(b + -3)

Reorder the terms:
14 + -7b = 4(-3 + b)
14 + -7b = (-3 * 4 + b * 4)
14 + -7b = (-12 + 4b)

Solving
14 + -7b = -12 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
14 + -7b + -4b = -12 + 4b + -4b

Combine like terms: -7b + -4b = -11b
14 + -11b = -12 + 4b + -4b

Combine like terms: 4b + -4b = 0
14 + -11b = -12 + 0
14 + -11b = -12

Add '-14' to each side of the equation.
14 + -14 + -11b = -12 + -14

Combine like terms: 14 + -14 = 0
0 + -11b = -12 + -14
-11b = -12 + -14

Combine like terms: -12 + -14 = -26
-11b = -26

Divide each side by '-11'.
b = 2.363636364

Simplifying
b = 2.363636364

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