0.7(3x+5)=1.1(x+4)

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Solution for 0.7(3x+5)=1.1(x+4) equation:


Simplifying
0.7(3x + 5) = 1.1(x + 4)

Reorder the terms:
0.7(5 + 3x) = 1.1(x + 4)
(5 * 0.7 + 3x * 0.7) = 1.1(x + 4)
(3.5 + 2.1x) = 1.1(x + 4)

Reorder the terms:
3.5 + 2.1x = 1.1(4 + x)
3.5 + 2.1x = (4 * 1.1 + x * 1.1)
3.5 + 2.1x = (4.4 + 1.1x)

Solving
3.5 + 2.1x = 4.4 + 1.1x

Solving for variable 'x'.

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

Add '-1.1x' to each side of the equation.
3.5 + 2.1x + -1.1x = 4.4 + 1.1x + -1.1x

Combine like terms: 2.1x + -1.1x = 1x
3.5 + 1x = 4.4 + 1.1x + -1.1x

Combine like terms: 1.1x + -1.1x = 0.0
3.5 + 1x = 4.4 + 0.0
3.5 + 1x = 4.4

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 1x = 4.4 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 1x = 4.4 + -3.5
1x = 4.4 + -3.5

Combine like terms: 4.4 + -3.5 = 0.9
1x = 0.9

Divide each side by '1'.
x = 0.9

Simplifying
x = 0.9

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