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

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Solution for 0.2(x+0.5)+5.24=1.5+0.7(x+2.2) equation:


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

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

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

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

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

Combine like terms: 1.5 + 1.54 = 3.04
5.34 + 0.2x = 3.04 + 0.7x

Solving
5.34 + 0.2x = 3.04 + 0.7x

Solving for variable 'x'.

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

Add '-0.7x' to each side of the equation.
5.34 + 0.2x + -0.7x = 3.04 + 0.7x + -0.7x

Combine like terms: 0.2x + -0.7x = -0.5x
5.34 + -0.5x = 3.04 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
5.34 + -0.5x = 3.04 + 0.0
5.34 + -0.5x = 3.04

Add '-5.34' to each side of the equation.
5.34 + -5.34 + -0.5x = 3.04 + -5.34

Combine like terms: 5.34 + -5.34 = 0.00
0.00 + -0.5x = 3.04 + -5.34
-0.5x = 3.04 + -5.34

Combine like terms: 3.04 + -5.34 = -2.3
-0.5x = -2.3

Divide each side by '-0.5'.
x = 4.6

Simplifying
x = 4.6

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