.3(4x+7)=2.5x+6

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Solution for .3(4x+7)=2.5x+6 equation: 


Simplifying
0.3(4x + 7) = 2.5x + 6

Reorder the terms:
0.3(7 + 4x) = 2.5x + 6
(7 * 0.3 + 4x * 0.3) = 2.5x + 6
(2.1 + 1.2x) = 2.5x + 6

Reorder the terms:
2.1 + 1.2x = 6 + 2.5x

Solving
2.1 + 1.2x = 6 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
2.1 + 1.2x + -2.5x = 6 + 2.5x + -2.5x

Combine like terms: 1.2x + -2.5x = -1.3x
2.1 + -1.3x = 6 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
2.1 + -1.3x = 6 + 0.0
2.1 + -1.3x = 6

Add '-2.1' to each side of the equation.
2.1 + -2.1 + -1.3x = 6 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + -1.3x = 6 + -2.1
-1.3x = 6 + -2.1

Combine like terms: 6 + -2.1 = 3.9
-1.3x = 3.9

Divide each side by '-1.3'.
x = -3

Simplifying
x = -3

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