4x+1=7x-9

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Solution for 4x+1=7x-9 equation: 


Simplifying
4x + 1 = 7x + -9

Reorder the terms:
1 + 4x = 7x + -9

Reorder the terms:
1 + 4x = -9 + 7x

Solving
1 + 4x = -9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
1 + 4x + -7x = -9 + 7x + -7x

Combine like terms: 4x + -7x = -3x
1 + -3x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -3x = -9 + 0
1 + -3x = -9

Add '-1' to each side of the equation.
1 + -1 + -3x = -9 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = -9 + -1
-3x = -9 + -1

Combine like terms: -9 + -1 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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