3(x+5)=7(x-11)

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Solution for 3(x+5)=7(x-11) equation:


Simplifying
3(x + 5) = 7(x + -11)

Reorder the terms:
3(5 + x) = 7(x + -11)
(5 * 3 + x * 3) = 7(x + -11)
(15 + 3x) = 7(x + -11)

Reorder the terms:
15 + 3x = 7(-11 + x)
15 + 3x = (-11 * 7 + x * 7)
15 + 3x = (-77 + 7x)

Solving
15 + 3x = -77 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
15 + 3x + -7x = -77 + 7x + -7x

Combine like terms: 3x + -7x = -4x
15 + -4x = -77 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + -4x = -77 + 0
15 + -4x = -77

Add '-15' to each side of the equation.
15 + -15 + -4x = -77 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = -77 + -15
-4x = -77 + -15

Combine like terms: -77 + -15 = -92
-4x = -92

Divide each side by '-4'.
x = 23

Simplifying
x = 23

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