8(2x+3)-6(5-4x)=7(6x-1)

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Solution for 8(2x+3)-6(5-4x)=7(6x-1) equation:


Simplifying
8(2x + 3) + -6(5 + -4x) = 7(6x + -1)

Reorder the terms:
8(3 + 2x) + -6(5 + -4x) = 7(6x + -1)
(3 * 8 + 2x * 8) + -6(5 + -4x) = 7(6x + -1)
(24 + 16x) + -6(5 + -4x) = 7(6x + -1)
24 + 16x + (5 * -6 + -4x * -6) = 7(6x + -1)
24 + 16x + (-30 + 24x) = 7(6x + -1)

Reorder the terms:
24 + -30 + 16x + 24x = 7(6x + -1)

Combine like terms: 24 + -30 = -6
-6 + 16x + 24x = 7(6x + -1)

Combine like terms: 16x + 24x = 40x
-6 + 40x = 7(6x + -1)

Reorder the terms:
-6 + 40x = 7(-1 + 6x)
-6 + 40x = (-1 * 7 + 6x * 7)
-6 + 40x = (-7 + 42x)

Solving
-6 + 40x = -7 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
-6 + 40x + -42x = -7 + 42x + -42x

Combine like terms: 40x + -42x = -2x
-6 + -2x = -7 + 42x + -42x

Combine like terms: 42x + -42x = 0
-6 + -2x = -7 + 0
-6 + -2x = -7

Add '6' to each side of the equation.
-6 + 6 + -2x = -7 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -7 + 6
-2x = -7 + 6

Combine like terms: -7 + 6 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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