x+3(.40)=(3+x)(.90)

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Solution for x+3(.40)=(3+x)(.90) equation: 


Simplifying
x + 3(0.40) = (3 + x)(0.90)

Multiply 3 * 0.40
x + 1.2 = (3 + x)(0.90)

Reorder the terms:
1.2 + x = (3 + x)(0.90)

Reorder the terms for easier multiplication:
1.2 + x = 0.90(3 + x)
1.2 + x = (3 * 0.90 + x * 0.90)
1.2 + x = (2.7 + 0.90x)

Solving
1.2 + x = 2.7 + 0.90x

Solving for variable 'x'.

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

Add '-0.90x' to each side of the equation.
1.2 + x + -0.90x = 2.7 + 0.90x + -0.90x

Combine like terms: x + -0.90x = 0.1x
1.2 + 0.1x = 2.7 + 0.90x + -0.90x

Combine like terms: 0.90x + -0.90x = 0.00
1.2 + 0.1x = 2.7 + 0.00
1.2 + 0.1x = 2.7

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.1x = 2.7 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.1x = 2.7 + -1.2
0.1x = 2.7 + -1.2

Combine like terms: 2.7 + -1.2 = 1.5
0.1x = 1.5

Divide each side by '0.1'.
x = 15

Simplifying
x = 15

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