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

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


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

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

Remove parenthesis around (1 + 2x)
1 + 2x = 4(x + -3)

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

Solving
1 + 2x = -12 + 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.
1 + 2x + -4x = -12 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
1 + -2x = -12 + 0
1 + -2x = -12

Add '-1' to each side of the equation.
1 + -1 + -2x = -12 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = -12 + -1
-2x = -12 + -1

Combine like terms: -12 + -1 = -13
-2x = -13

Divide each side by '-2'.
x = 6.5

Simplifying
x = 6.5

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