7xb-2(4x-3)=8-3(x-3)

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Solution for 7xb-2(4x-3)=8-3(x-3) equation:


Simplifying
7xb + -2(4x + -3) = 8 + -3(x + -3)

Reorder the terms:
7bx + -2(-3 + 4x) = 8 + -3(x + -3)
7bx + (-3 * -2 + 4x * -2) = 8 + -3(x + -3)
7bx + (6 + -8x) = 8 + -3(x + -3)

Reorder the terms:
6 + 7bx + -8x = 8 + -3(x + -3)

Reorder the terms:
6 + 7bx + -8x = 8 + -3(-3 + x)
6 + 7bx + -8x = 8 + (-3 * -3 + x * -3)
6 + 7bx + -8x = 8 + (9 + -3x)

Combine like terms: 8 + 9 = 17
6 + 7bx + -8x = 17 + -3x

Solving
6 + 7bx + -8x = 17 + -3x

Solving for variable 'b'.

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

Add '-6' to each side of the equation.
6 + 7bx + -6 + -8x = 17 + -6 + -3x

Reorder the terms:
6 + -6 + 7bx + -8x = 17 + -6 + -3x

Combine like terms: 6 + -6 = 0
0 + 7bx + -8x = 17 + -6 + -3x
7bx + -8x = 17 + -6 + -3x

Combine like terms: 17 + -6 = 11
7bx + -8x = 11 + -3x

Add '8x' to each side of the equation.
7bx + -8x + 8x = 11 + -3x + 8x

Combine like terms: -8x + 8x = 0
7bx + 0 = 11 + -3x + 8x
7bx = 11 + -3x + 8x

Combine like terms: -3x + 8x = 5x
7bx = 11 + 5x

Divide each side by '7x'.
b = 1.571428571x-1 + 0.7142857143

Simplifying
b = 1.571428571x-1 + 0.7142857143

Reorder the terms:
b = 0.7142857143 + 1.571428571x-1

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