7(2+5x)+4(8-7x)=60

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Solution for 7(2+5x)+4(8-7x)=60 equation:


Simplifying
7(2 + 5x) + 4(8 + -7x) = 60
(2 * 7 + 5x * 7) + 4(8 + -7x) = 60
(14 + 35x) + 4(8 + -7x) = 60
14 + 35x + (8 * 4 + -7x * 4) = 60
14 + 35x + (32 + -28x) = 60

Reorder the terms:
14 + 32 + 35x + -28x = 60

Combine like terms: 14 + 32 = 46
46 + 35x + -28x = 60

Combine like terms: 35x + -28x = 7x
46 + 7x = 60

Solving
46 + 7x = 60

Solving for variable 'x'.

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

Add '-46' to each side of the equation.
46 + -46 + 7x = 60 + -46

Combine like terms: 46 + -46 = 0
0 + 7x = 60 + -46
7x = 60 + -46

Combine like terms: 60 + -46 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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