35+7(x+20)=3x+47

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Solution for 35+7(x+20)=3x+47 equation: 


Simplifying
35 + 7(x + 20) = 3x + 47

Reorder the terms:
35 + 7(20 + x) = 3x + 47
35 + (20 * 7 + x * 7) = 3x + 47
35 + (140 + 7x) = 3x + 47

Combine like terms: 35 + 140 = 175
175 + 7x = 3x + 47

Reorder the terms:
175 + 7x = 47 + 3x

Solving
175 + 7x = 47 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
175 + 7x + -3x = 47 + 3x + -3x

Combine like terms: 7x + -3x = 4x
175 + 4x = 47 + 3x + -3x

Combine like terms: 3x + -3x = 0
175 + 4x = 47 + 0
175 + 4x = 47

Add '-175' to each side of the equation.
175 + -175 + 4x = 47 + -175

Combine like terms: 175 + -175 = 0
0 + 4x = 47 + -175
4x = 47 + -175

Combine like terms: 47 + -175 = -128
4x = -128

Divide each side by '4'.
x = -32

Simplifying
x = -32

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