1.50x+2.00(6)=1.80(x+6)

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Solution for 1.50x+2.00(6)=1.80(x+6) equation: 


Simplifying
1.50x + 2.00(6) = 1.80(x + 6)

Multiply 2.00 * 6
1.50x + 12 = 1.80(x + 6)

Reorder the terms:
12 + 1.50x = 1.80(x + 6)

Reorder the terms:
12 + 1.50x = 1.80(6 + x)
12 + 1.50x = (6 * 1.80 + x * 1.80)
12 + 1.50x = (10.8 + 1.80x)

Solving
12 + 1.50x = 10.8 + 1.80x

Solving for variable 'x'.

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

Add '-1.80x' to each side of the equation.
12 + 1.50x + -1.80x = 10.8 + 1.80x + -1.80x

Combine like terms: 1.50x + -1.80x = -0.3x
12 + -0.3x = 10.8 + 1.80x + -1.80x

Combine like terms: 1.80x + -1.80x = 0.00
12 + -0.3x = 10.8 + 0.00
12 + -0.3x = 10.8

Add '-12' to each side of the equation.
12 + -12 + -0.3x = 10.8 + -12

Combine like terms: 12 + -12 = 0
0 + -0.3x = 10.8 + -12
-0.3x = 10.8 + -12

Combine like terms: 10.8 + -12 = -1.2
-0.3x = -1.2

Divide each side by '-0.3'.
x = 4

Simplifying
x = 4

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