7(3x-4)=x+152

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Solution for 7(3x-4)=x+152 equation:


Simplifying
7(3x + -4) = x + 152

Reorder the terms:
7(-4 + 3x) = x + 152
(-4 * 7 + 3x * 7) = x + 152
(-28 + 21x) = x + 152

Reorder the terms:
-28 + 21x = 152 + x

Solving
-28 + 21x = 152 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-28 + 21x + -1x = 152 + x + -1x

Combine like terms: 21x + -1x = 20x
-28 + 20x = 152 + x + -1x

Combine like terms: x + -1x = 0
-28 + 20x = 152 + 0
-28 + 20x = 152

Add '28' to each side of the equation.
-28 + 28 + 20x = 152 + 28

Combine like terms: -28 + 28 = 0
0 + 20x = 152 + 28
20x = 152 + 28

Combine like terms: 152 + 28 = 180
20x = 180

Divide each side by '20'.
x = 9

Simplifying
x = 9

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