6x+75=4x-300

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Solution for 6x+75=4x-300 equation:


Simplifying
6x + 75 = 4x + -300

Reorder the terms:
75 + 6x = 4x + -300

Reorder the terms:
75 + 6x = -300 + 4x

Solving
75 + 6x = -300 + 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.
75 + 6x + -4x = -300 + 4x + -4x

Combine like terms: 6x + -4x = 2x
75 + 2x = -300 + 4x + -4x

Combine like terms: 4x + -4x = 0
75 + 2x = -300 + 0
75 + 2x = -300

Add '-75' to each side of the equation.
75 + -75 + 2x = -300 + -75

Combine like terms: 75 + -75 = 0
0 + 2x = -300 + -75
2x = -300 + -75

Combine like terms: -300 + -75 = -375
2x = -375

Divide each side by '2'.
x = -187.5

Simplifying
x = -187.5

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