3(x-5)=3-(5x-14)

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Solution for 3(x-5)=3-(5x-14) equation:


Simplifying
3(x + -5) = 3 + -1(5x + -14)

Reorder the terms:
3(-5 + x) = 3 + -1(5x + -14)
(-5 * 3 + x * 3) = 3 + -1(5x + -14)
(-15 + 3x) = 3 + -1(5x + -14)

Reorder the terms:
-15 + 3x = 3 + -1(-14 + 5x)
-15 + 3x = 3 + (-14 * -1 + 5x * -1)
-15 + 3x = 3 + (14 + -5x)

Combine like terms: 3 + 14 = 17
-15 + 3x = 17 + -5x

Solving
-15 + 3x = 17 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-15 + 3x + 5x = 17 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-15 + 8x = 17 + -5x + 5x

Combine like terms: -5x + 5x = 0
-15 + 8x = 17 + 0
-15 + 8x = 17

Add '15' to each side of the equation.
-15 + 15 + 8x = 17 + 15

Combine like terms: -15 + 15 = 0
0 + 8x = 17 + 15
8x = 17 + 15

Combine like terms: 17 + 15 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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