4+2(3x-5)=14-2x+1

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Solution for 4+2(3x-5)=14-2x+1 equation:


Simplifying
4 + 2(3x + -5) = 14 + -2x + 1

Reorder the terms:
4 + 2(-5 + 3x) = 14 + -2x + 1
4 + (-5 * 2 + 3x * 2) = 14 + -2x + 1
4 + (-10 + 6x) = 14 + -2x + 1

Combine like terms: 4 + -10 = -6
-6 + 6x = 14 + -2x + 1

Reorder the terms:
-6 + 6x = 14 + 1 + -2x

Combine like terms: 14 + 1 = 15
-6 + 6x = 15 + -2x

Solving
-6 + 6x = 15 + -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.
-6 + 6x + 2x = 15 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-6 + 8x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 8x = 15 + 0
-6 + 8x = 15

Add '6' to each side of the equation.
-6 + 6 + 8x = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 15 + 6
8x = 15 + 6

Combine like terms: 15 + 6 = 21
8x = 21

Divide each side by '8'.
x = 2.625

Simplifying
x = 2.625

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