0.6(6+7x)-2x=0.4(4+3x)+3

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Solution for 0.6(6+7x)-2x=0.4(4+3x)+3 equation: 


Simplifying
0.6(6 + 7x) + -2x = 0.4(4 + 3x) + 3
(6 * 0.6 + 7x * 0.6) + -2x = 0.4(4 + 3x) + 3
(3.6 + 4.2x) + -2x = 0.4(4 + 3x) + 3

Combine like terms: 4.2x + -2x = 2.2x
3.6 + 2.2x = 0.4(4 + 3x) + 3
3.6 + 2.2x = (4 * 0.4 + 3x * 0.4) + 3
3.6 + 2.2x = (1.6 + 1.2x) + 3

Reorder the terms:
3.6 + 2.2x = 1.6 + 3 + 1.2x

Combine like terms: 1.6 + 3 = 4.6
3.6 + 2.2x = 4.6 + 1.2x

Solving
3.6 + 2.2x = 4.6 + 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.
3.6 + 2.2x + -1.2x = 4.6 + 1.2x + -1.2x

Combine like terms: 2.2x + -1.2x = 1x
3.6 + 1x = 4.6 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
3.6 + 1x = 4.6 + 0.0
3.6 + 1x = 4.6

Add '-3.6' to each side of the equation.
3.6 + -3.6 + 1x = 4.6 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 1x = 4.6 + -3.6
1x = 4.6 + -3.6

Combine like terms: 4.6 + -3.6 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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