5+14(x-2)=2(x-7)+1

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Solution for 5+14(x-2)=2(x-7)+1 equation:


Simplifying
5 + 14(x + -2) = 2(x + -7) + 1

Reorder the terms:
5 + 14(-2 + x) = 2(x + -7) + 1
5 + (-2 * 14 + x * 14) = 2(x + -7) + 1
5 + (-28 + 14x) = 2(x + -7) + 1

Combine like terms: 5 + -28 = -23
-23 + 14x = 2(x + -7) + 1

Reorder the terms:
-23 + 14x = 2(-7 + x) + 1
-23 + 14x = (-7 * 2 + x * 2) + 1
-23 + 14x = (-14 + 2x) + 1

Reorder the terms:
-23 + 14x = -14 + 1 + 2x

Combine like terms: -14 + 1 = -13
-23 + 14x = -13 + 2x

Solving
-23 + 14x = -13 + 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.
-23 + 14x + -2x = -13 + 2x + -2x

Combine like terms: 14x + -2x = 12x
-23 + 12x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-23 + 12x = -13 + 0
-23 + 12x = -13

Add '23' to each side of the equation.
-23 + 23 + 12x = -13 + 23

Combine like terms: -23 + 23 = 0
0 + 12x = -13 + 23
12x = -13 + 23

Combine like terms: -13 + 23 = 10
12x = 10

Divide each side by '12'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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