.2(x+.5)+5.24=1.5x+.7(x+2.2)

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Solution for .2(x+.5)+5.24=1.5x+.7(x+2.2) equation:


Simplifying
0.2(x + 0.5) + 5.24 = 1.5x + 0.7(x + 2.2)

Reorder the terms:
0.2(0.5 + x) + 5.24 = 1.5x + 0.7(x + 2.2)
(0.5 * 0.2 + x * 0.2) + 5.24 = 1.5x + 0.7(x + 2.2)
(0.1 + 0.2x) + 5.24 = 1.5x + 0.7(x + 2.2)

Reorder the terms:
0.1 + 5.24 + 0.2x = 1.5x + 0.7(x + 2.2)

Combine like terms: 0.1 + 5.24 = 5.34
5.34 + 0.2x = 1.5x + 0.7(x + 2.2)

Reorder the terms:
5.34 + 0.2x = 1.5x + 0.7(2.2 + x)
5.34 + 0.2x = 1.5x + (2.2 * 0.7 + x * 0.7)
5.34 + 0.2x = 1.5x + (1.54 + 0.7x)

Reorder the terms:
5.34 + 0.2x = 1.54 + 1.5x + 0.7x

Combine like terms: 1.5x + 0.7x = 2.2x
5.34 + 0.2x = 1.54 + 2.2x

Solving
5.34 + 0.2x = 1.54 + 2.2x

Solving for variable 'x'.

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

Add '-2.2x' to each side of the equation.
5.34 + 0.2x + -2.2x = 1.54 + 2.2x + -2.2x

Combine like terms: 0.2x + -2.2x = -2x
5.34 + -2x = 1.54 + 2.2x + -2.2x

Combine like terms: 2.2x + -2.2x = 0.0
5.34 + -2x = 1.54 + 0.0
5.34 + -2x = 1.54

Add '-5.34' to each side of the equation.
5.34 + -5.34 + -2x = 1.54 + -5.34

Combine like terms: 5.34 + -5.34 = 0.00
0.00 + -2x = 1.54 + -5.34
-2x = 1.54 + -5.34

Combine like terms: 1.54 + -5.34 = -3.8
-2x = -3.8

Divide each side by '-2'.
x = 1.9

Simplifying
x = 1.9

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