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

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


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

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

Reorder the terms:
-6 + 1 + 2x = 4x + 5

Combine like terms: -6 + 1 = -5
-5 + 2x = 4x + 5

Reorder the terms:
-5 + 2x = 5 + 4x

Solving
-5 + 2x = 5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-5 + 2x + -4x = 5 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-5 + -2x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -2x = 5 + 0
-5 + -2x = 5

Add '5' to each side of the equation.
-5 + 5 + -2x = 5 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 5 + 5
-2x = 5 + 5

Combine like terms: 5 + 5 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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