-3(x+5)=52(x+5)

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Solution for -3(x+5)=52(x+5) equation:


Simplifying
-3(x + 5) = 52(x + 5)

Reorder the terms:
-3(5 + x) = 52(x + 5)
(5 * -3 + x * -3) = 52(x + 5)
(-15 + -3x) = 52(x + 5)

Reorder the terms:
-15 + -3x = 52(5 + x)
-15 + -3x = (5 * 52 + x * 52)
-15 + -3x = (260 + 52x)

Solving
-15 + -3x = 260 + 52x

Solving for variable 'x'.

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

Add '-52x' to each side of the equation.
-15 + -3x + -52x = 260 + 52x + -52x

Combine like terms: -3x + -52x = -55x
-15 + -55x = 260 + 52x + -52x

Combine like terms: 52x + -52x = 0
-15 + -55x = 260 + 0
-15 + -55x = 260

Add '15' to each side of the equation.
-15 + 15 + -55x = 260 + 15

Combine like terms: -15 + 15 = 0
0 + -55x = 260 + 15
-55x = 260 + 15

Combine like terms: 260 + 15 = 275
-55x = 275

Divide each side by '-55'.
x = -5

Simplifying
x = -5

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