6x+1.5=0.8(2.5x+6)-7x

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Solution for 6x+1.5=0.8(2.5x+6)-7x equation: 


Simplifying
6x + 1.5 = 0.8(2.5x + 6) + -7x

Reorder the terms:
1.5 + 6x = 0.8(2.5x + 6) + -7x

Reorder the terms:
1.5 + 6x = 0.8(6 + 2.5x) + -7x
1.5 + 6x = (6 * 0.8 + 2.5x * 0.8) + -7x
1.5 + 6x = (4.8 + 2x) + -7x

Combine like terms: 2x + -7x = -5x
1.5 + 6x = 4.8 + -5x

Solving
1.5 + 6x = 4.8 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
1.5 + 6x + 5x = 4.8 + -5x + 5x

Combine like terms: 6x + 5x = 11x
1.5 + 11x = 4.8 + -5x + 5x

Combine like terms: -5x + 5x = 0
1.5 + 11x = 4.8 + 0
1.5 + 11x = 4.8

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 11x = 4.8 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 11x = 4.8 + -1.5
11x = 4.8 + -1.5

Combine like terms: 4.8 + -1.5 = 3.3
11x = 3.3

Divide each side by '11'.
x = 0.3

Simplifying
x = 0.3

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