4(6x+8)+6(2-7)=120

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Solution for 4(6x+8)+6(2-7)=120 equation: 


Simplifying
4(6x + 8) + 6(2 + -7) = 120

Reorder the terms:
4(8 + 6x) + 6(2 + -7) = 120
(8 * 4 + 6x * 4) + 6(2 + -7) = 120
(32 + 24x) + 6(2 + -7) = 120

Combine like terms: 2 + -7 = -5
32 + 24x + 6(-5) = 120

Multiply 6 * -5
32 + 24x + -30 = 120

Reorder the terms:
32 + -30 + 24x = 120

Combine like terms: 32 + -30 = 2
2 + 24x = 120

Solving
2 + 24x = 120

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 24x = 120 + -2

Combine like terms: 2 + -2 = 0
0 + 24x = 120 + -2
24x = 120 + -2

Combine like terms: 120 + -2 = 118
24x = 118

Divide each side by '24'.
x = 4.916666667

Simplifying
x = 4.916666667

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