5+4(x-2)=2(x+7)+1

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Solution for 5+4(x-2)=2(x+7)+1 equation:


Simplifying
5 + 4(x + -2) = 2(x + 7) + 1

Reorder the terms:
5 + 4(-2 + x) = 2(x + 7) + 1
5 + (-2 * 4 + x * 4) = 2(x + 7) + 1
5 + (-8 + 4x) = 2(x + 7) + 1

Combine like terms: 5 + -8 = -3
-3 + 4x = 2(x + 7) + 1

Reorder the terms:
-3 + 4x = 2(7 + x) + 1
-3 + 4x = (7 * 2 + x * 2) + 1
-3 + 4x = (14 + 2x) + 1

Reorder the terms:
-3 + 4x = 14 + 1 + 2x

Combine like terms: 14 + 1 = 15
-3 + 4x = 15 + 2x

Solving
-3 + 4x = 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.
-3 + 4x + -2x = 15 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-3 + 2x = 15 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 2x = 15 + 0
-3 + 2x = 15

Add '3' to each side of the equation.
-3 + 3 + 2x = 15 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 15 + 3
2x = 15 + 3

Combine like terms: 15 + 3 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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