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

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


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

Reorder the terms:
4(-3 + x) = 2(x + 3) + 1
(-3 * 4 + x * 4) = 2(x + 3) + 1
(-12 + 4x) = 2(x + 3) + 1

Reorder the terms:
-12 + 4x = 2(3 + x) + 1
-12 + 4x = (3 * 2 + x * 2) + 1
-12 + 4x = (6 + 2x) + 1

Reorder the terms:
-12 + 4x = 6 + 1 + 2x

Combine like terms: 6 + 1 = 7
-12 + 4x = 7 + 2x

Solving
-12 + 4x = 7 + 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.
-12 + 4x + -2x = 7 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-12 + 2x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 2x = 7 + 0
-12 + 2x = 7

Add '12' to each side of the equation.
-12 + 12 + 2x = 7 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 7 + 12
2x = 7 + 12

Combine like terms: 7 + 12 = 19
2x = 19

Divide each side by '2'.
x = 9.5

Simplifying
x = 9.5

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