1(3.5x+3)=.2(2.4x+2)

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Solution for 1(3.5x+3)=.2(2.4x+2) equation:


Simplifying
1(3.5x + 3) = 0.2(2.4x + 2)

Reorder the terms:
1(3 + 3.5x) = 0.2(2.4x + 2)
(3 * 1 + 3.5x * 1) = 0.2(2.4x + 2)
(3 + 3.5x) = 0.2(2.4x + 2)

Reorder the terms:
3 + 3.5x = 0.2(2 + 2.4x)
3 + 3.5x = (2 * 0.2 + 2.4x * 0.2)
3 + 3.5x = (0.4 + 0.48x)

Solving
3 + 3.5x = 0.4 + 0.48x

Solving for variable 'x'.

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

Add '-0.48x' to each side of the equation.
3 + 3.5x + -0.48x = 0.4 + 0.48x + -0.48x

Combine like terms: 3.5x + -0.48x = 3.02x
3 + 3.02x = 0.4 + 0.48x + -0.48x

Combine like terms: 0.48x + -0.48x = 0.00
3 + 3.02x = 0.4 + 0.00
3 + 3.02x = 0.4

Add '-3' to each side of the equation.
3 + -3 + 3.02x = 0.4 + -3

Combine like terms: 3 + -3 = 0
0 + 3.02x = 0.4 + -3
3.02x = 0.4 + -3

Combine like terms: 0.4 + -3 = -2.6
3.02x = -2.6

Divide each side by '3.02'.
x = -0.8609271523

Simplifying
x = -0.8609271523

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