4(7x+8)=6(8x-11)-2

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Solution for 4(7x+8)=6(8x-11)-2 equation: 


Simplifying
4(7x + 8) = 6(8x + -11) + -2

Reorder the terms:
4(8 + 7x) = 6(8x + -11) + -2
(8 * 4 + 7x * 4) = 6(8x + -11) + -2
(32 + 28x) = 6(8x + -11) + -2

Reorder the terms:
32 + 28x = 6(-11 + 8x) + -2
32 + 28x = (-11 * 6 + 8x * 6) + -2
32 + 28x = (-66 + 48x) + -2

Reorder the terms:
32 + 28x = -66 + -2 + 48x

Combine like terms: -66 + -2 = -68
32 + 28x = -68 + 48x

Solving
32 + 28x = -68 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
32 + 28x + -48x = -68 + 48x + -48x

Combine like terms: 28x + -48x = -20x
32 + -20x = -68 + 48x + -48x

Combine like terms: 48x + -48x = 0
32 + -20x = -68 + 0
32 + -20x = -68

Add '-32' to each side of the equation.
32 + -32 + -20x = -68 + -32

Combine like terms: 32 + -32 = 0
0 + -20x = -68 + -32
-20x = -68 + -32

Combine like terms: -68 + -32 = -100
-20x = -100

Divide each side by '-20'.
x = 5

Simplifying
x = 5

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