1.1(5x-7)+3.6=0.2(9-2x)

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Solution for 1.1(5x-7)+3.6=0.2(9-2x) equation:


Simplifying
1.1(5x + -7) + 3.6 = 0.2(9 + -2x)

Reorder the terms:
1.1(-7 + 5x) + 3.6 = 0.2(9 + -2x)
(-7 * 1.1 + 5x * 1.1) + 3.6 = 0.2(9 + -2x)
(-7.7 + 5.5x) + 3.6 = 0.2(9 + -2x)

Reorder the terms:
-7.7 + 3.6 + 5.5x = 0.2(9 + -2x)

Combine like terms: -7.7 + 3.6 = -4.1
-4.1 + 5.5x = 0.2(9 + -2x)
-4.1 + 5.5x = (9 * 0.2 + -2x * 0.2)
-4.1 + 5.5x = (1.8 + -0.4x)

Solving
-4.1 + 5.5x = 1.8 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-4.1 + 5.5x + 0.4x = 1.8 + -0.4x + 0.4x

Combine like terms: 5.5x + 0.4x = 5.9x
-4.1 + 5.9x = 1.8 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-4.1 + 5.9x = 1.8 + 0.0
-4.1 + 5.9x = 1.8

Add '4.1' to each side of the equation.
-4.1 + 4.1 + 5.9x = 1.8 + 4.1

Combine like terms: -4.1 + 4.1 = 0.0
0.0 + 5.9x = 1.8 + 4.1
5.9x = 1.8 + 4.1

Combine like terms: 1.8 + 4.1 = 5.9
5.9x = 5.9

Divide each side by '5.9'.
x = 1

Simplifying
x = 1

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