7(x-4)=-3x+52

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Solution for 7(x-4)=-3x+52 equation:


Simplifying
7(x + -4) = -3x + 52

Reorder the terms:
7(-4 + x) = -3x + 52
(-4 * 7 + x * 7) = -3x + 52
(-28 + 7x) = -3x + 52

Reorder the terms:
-28 + 7x = 52 + -3x

Solving
-28 + 7x = 52 + -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.
-28 + 7x + 3x = 52 + -3x + 3x

Combine like terms: 7x + 3x = 10x
-28 + 10x = 52 + -3x + 3x

Combine like terms: -3x + 3x = 0
-28 + 10x = 52 + 0
-28 + 10x = 52

Add '28' to each side of the equation.
-28 + 28 + 10x = 52 + 28

Combine like terms: -28 + 28 = 0
0 + 10x = 52 + 28
10x = 52 + 28

Combine like terms: 52 + 28 = 80
10x = 80

Divide each side by '10'.
x = 8

Simplifying
x = 8

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