4(7x-8)=6(5x+10)

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Solution for 4(7x-8)=6(5x+10) equation:


Simplifying
4(7x + -8) = 6(5x + 10)

Reorder the terms:
4(-8 + 7x) = 6(5x + 10)
(-8 * 4 + 7x * 4) = 6(5x + 10)
(-32 + 28x) = 6(5x + 10)

Reorder the terms:
-32 + 28x = 6(10 + 5x)
-32 + 28x = (10 * 6 + 5x * 6)
-32 + 28x = (60 + 30x)

Solving
-32 + 28x = 60 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-32 + 28x + -30x = 60 + 30x + -30x

Combine like terms: 28x + -30x = -2x
-32 + -2x = 60 + 30x + -30x

Combine like terms: 30x + -30x = 0
-32 + -2x = 60 + 0
-32 + -2x = 60

Add '32' to each side of the equation.
-32 + 32 + -2x = 60 + 32

Combine like terms: -32 + 32 = 0
0 + -2x = 60 + 32
-2x = 60 + 32

Combine like terms: 60 + 32 = 92
-2x = 92

Divide each side by '-2'.
x = -46

Simplifying
x = -46

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