.75(6x+3)=4x+2

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Solution for .75(6x+3)=4x+2 equation: 


Simplifying
0.75(6x + 3) = 4x + 2

Reorder the terms:
0.75(3 + 6x) = 4x + 2
(3 * 0.75 + 6x * 0.75) = 4x + 2
(2.25 + 4.5x) = 4x + 2

Reorder the terms:
2.25 + 4.5x = 2 + 4x

Solving
2.25 + 4.5x = 2 + 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.
2.25 + 4.5x + -4x = 2 + 4x + -4x

Combine like terms: 4.5x + -4x = 0.5x
2.25 + 0.5x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
2.25 + 0.5x = 2 + 0
2.25 + 0.5x = 2

Add '-2.25' to each side of the equation.
2.25 + -2.25 + 0.5x = 2 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + 0.5x = 2 + -2.25
0.5x = 2 + -2.25

Combine like terms: 2 + -2.25 = -0.25
0.5x = -0.25

Divide each side by '0.5'.
x = -0.5

Simplifying
x = -0.5

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