4(6+7x)+8(-6x+3)=28

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Solution for 4(6+7x)+8(-6x+3)=28 equation: 


Simplifying
4(6 + 7x) + 8(-6x + 3) = 28
(6 * 4 + 7x * 4) + 8(-6x + 3) = 28
(24 + 28x) + 8(-6x + 3) = 28

Reorder the terms:
24 + 28x + 8(3 + -6x) = 28
24 + 28x + (3 * 8 + -6x * 8) = 28
24 + 28x + (24 + -48x) = 28

Reorder the terms:
24 + 24 + 28x + -48x = 28

Combine like terms: 24 + 24 = 48
48 + 28x + -48x = 28

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

Solving
48 + -20x = 28

Solving for variable 'x'.

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

Add '-48' to each side of the equation.
48 + -48 + -20x = 28 + -48

Combine like terms: 48 + -48 = 0
0 + -20x = 28 + -48
-20x = 28 + -48

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

Divide each side by '-20'.
x = 1

Simplifying
x = 1

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