2x+1=4x-7

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


Simplifying
2x + 1 = 4x + -7

Reorder the terms:
1 + 2x = 4x + -7

Reorder the terms:
1 + 2x = -7 + 4x

Solving
1 + 2x = -7 + 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 = -7 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
1 + -2x = -7 + 0
1 + -2x = -7

Add '-1' to each side of the equation.
1 + -1 + -2x = -7 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = -7 + -1
-2x = -7 + -1

Combine like terms: -7 + -1 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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