2.5(6x-4)=10+4(1.5+0.3x)

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Solution for 2.5(6x-4)=10+4(1.5+0.3x) equation: 


Simplifying
2.5(6x + -4) = 10 + 4(1.5 + 0.3x)

Reorder the terms:
2.5(-4 + 6x) = 10 + 4(1.5 + 0.3x)
(-4 * 2.5 + 6x * 2.5) = 10 + 4(1.5 + 0.3x)
(-10 + 15x) = 10 + 4(1.5 + 0.3x)
-10 + 15x = 10 + (1.5 * 4 + 0.3x * 4)
-10 + 15x = 10 + (6 + 1.2x)

Combine like terms: 10 + 6 = 16
-10 + 15x = 16 + 1.2x

Solving
-10 + 15x = 16 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
-10 + 15x + -1.2x = 16 + 1.2x + -1.2x

Combine like terms: 15x + -1.2x = 13.8x
-10 + 13.8x = 16 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-10 + 13.8x = 16 + 0.0
-10 + 13.8x = 16

Add '10' to each side of the equation.
-10 + 10 + 13.8x = 16 + 10

Combine like terms: -10 + 10 = 0
0 + 13.8x = 16 + 10
13.8x = 16 + 10

Combine like terms: 16 + 10 = 26
13.8x = 26

Divide each side by '13.8'.
x = 1.884057971

Simplifying
x = 1.884057971

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