4(53-x)=28(x+3)

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Solution for 4(53-x)=28(x+3) equation:


Simplifying
4(53 + -1x) = 28(x + 3)
(53 * 4 + -1x * 4) = 28(x + 3)
(212 + -4x) = 28(x + 3)

Reorder the terms:
212 + -4x = 28(3 + x)
212 + -4x = (3 * 28 + x * 28)
212 + -4x = (84 + 28x)

Solving
212 + -4x = 84 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
212 + -4x + -28x = 84 + 28x + -28x

Combine like terms: -4x + -28x = -32x
212 + -32x = 84 + 28x + -28x

Combine like terms: 28x + -28x = 0
212 + -32x = 84 + 0
212 + -32x = 84

Add '-212' to each side of the equation.
212 + -212 + -32x = 84 + -212

Combine like terms: 212 + -212 = 0
0 + -32x = 84 + -212
-32x = 84 + -212

Combine like terms: 84 + -212 = -128
-32x = -128

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

Simplifying
x = 4

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