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

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


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

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

Reorder the terms:
1 + 2x = 4(-3 + 4x)
1 + 2x = (-3 * 4 + 4x * 4)
1 + 2x = (-12 + 16x)

Solving
1 + 2x = -12 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
1 + 2x + -16x = -12 + 16x + -16x

Combine like terms: 2x + -16x = -14x
1 + -14x = -12 + 16x + -16x

Combine like terms: 16x + -16x = 0
1 + -14x = -12 + 0
1 + -14x = -12

Add '-1' to each side of the equation.
1 + -1 + -14x = -12 + -1

Combine like terms: 1 + -1 = 0
0 + -14x = -12 + -1
-14x = -12 + -1

Combine like terms: -12 + -1 = -13
-14x = -13

Divide each side by '-14'.
x = 0.9285714286

Simplifying
x = 0.9285714286

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