8(5x-3)-3(4x+6)=4

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


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

Reorder the terms:
8(-3 + 5x) + -3(4x + 6) = 4
(-3 * 8 + 5x * 8) + -3(4x + 6) = 4
(-24 + 40x) + -3(4x + 6) = 4

Reorder the terms:
-24 + 40x + -3(6 + 4x) = 4
-24 + 40x + (6 * -3 + 4x * -3) = 4
-24 + 40x + (-18 + -12x) = 4

Reorder the terms:
-24 + -18 + 40x + -12x = 4

Combine like terms: -24 + -18 = -42
-42 + 40x + -12x = 4

Combine like terms: 40x + -12x = 28x
-42 + 28x = 4

Solving
-42 + 28x = 4

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + 28x = 4 + 42

Combine like terms: -42 + 42 = 0
0 + 28x = 4 + 42
28x = 4 + 42

Combine like terms: 4 + 42 = 46
28x = 46

Divide each side by '28'.
x = 1.642857143

Simplifying
x = 1.642857143

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