3(x-5)+14=2(x+1)

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Solution for 3(x-5)+14=2(x+1) equation:


Simplifying
3(x + -5) + 14 = 2(x + 1)

Reorder the terms:
3(-5 + x) + 14 = 2(x + 1)
(-5 * 3 + x * 3) + 14 = 2(x + 1)
(-15 + 3x) + 14 = 2(x + 1)

Reorder the terms:
-15 + 14 + 3x = 2(x + 1)

Combine like terms: -15 + 14 = -1
-1 + 3x = 2(x + 1)

Reorder the terms:
-1 + 3x = 2(1 + x)
-1 + 3x = (1 * 2 + x * 2)
-1 + 3x = (2 + 2x)

Solving
-1 + 3x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1 + 3x + -2x = 2 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-1 + 1x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + 1x = 2 + 0
-1 + 1x = 2

Add '1' to each side of the equation.
-1 + 1 + 1x = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 1x = 2 + 1
1x = 2 + 1

Combine like terms: 2 + 1 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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