3(7+10)+4(7+20)+5(x)=185-3(7)

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Solution for 3(7+10)+4(7+20)+5(x)=185-3(7) equation: 


Simplifying
3(7 + 10) + 4(7 + 20) + 5(x) = 185 + -3(7)

Combine like terms: 7 + 10 = 17
3(17) + 4(7 + 20) + 5(x) = 185 + -3(7)

Multiply 3 * 17
51 + 4(7 + 20) + 5(x) = 185 + -3(7)

Combine like terms: 7 + 20 = 27
51 + 4(27) + 5(x) = 185 + -3(7)

Multiply 4 * 27
51 + 108 + 5(x) = 185 + -3(7)

Combine like terms: 51 + 108 = 159
159 + 5x = 185 + -3(7)

Multiply -3 * 7
159 + 5x = 185 + -21

Combine like terms: 185 + -21 = 164
159 + 5x = 164

Solving
159 + 5x = 164

Solving for variable 'x'.

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

Add '-159' to each side of the equation.
159 + -159 + 5x = 164 + -159

Combine like terms: 159 + -159 = 0
0 + 5x = 164 + -159
5x = 164 + -159

Combine like terms: 164 + -159 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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