4x+3=7x-5

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Solution for 4x+3=7x-5 equation:


Simplifying
4x + 3 = 7x + -5

Reorder the terms:
3 + 4x = 7x + -5

Reorder the terms:
3 + 4x = -5 + 7x

Solving
3 + 4x = -5 + 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.
3 + 4x + -7x = -5 + 7x + -7x

Combine like terms: 4x + -7x = -3x
3 + -3x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -3x = -5 + 0
3 + -3x = -5

Add '-3' to each side of the equation.
3 + -3 + -3x = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = -5 + -3
-3x = -5 + -3

Combine like terms: -5 + -3 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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