1.4(2.5x-4.5)-(6.2+2.5x)=7.3+4.5

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Solution for 1.4(2.5x-4.5)-(6.2+2.5x)=7.3+4.5 equation: 


Simplifying
1.4(2.5x + -4.5) + -1(6.2 + 2.5x) = 7.3 + 4.5

Reorder the terms:
1.4(-4.5 + 2.5x) + -1(6.2 + 2.5x) = 7.3 + 4.5
(-4.5 * 1.4 + 2.5x * 1.4) + -1(6.2 + 2.5x) = 7.3 + 4.5
(-6.3 + 3.5x) + -1(6.2 + 2.5x) = 7.3 + 4.5
-6.3 + 3.5x + (6.2 * -1 + 2.5x * -1) = 7.3 + 4.5
-6.3 + 3.5x + (-6.2 + -2.5x) = 7.3 + 4.5

Reorder the terms:
-6.3 + -6.2 + 3.5x + -2.5x = 7.3 + 4.5

Combine like terms: -6.3 + -6.2 = -12.5
-12.5 + 3.5x + -2.5x = 7.3 + 4.5

Combine like terms: 3.5x + -2.5x = 1x
-12.5 + 1x = 7.3 + 4.5

Combine like terms: 7.3 + 4.5 = 11.8
-12.5 + 1x = 11.8

Solving
-12.5 + 1x = 11.8

Solving for variable 'x'.

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

Add '12.5' to each side of the equation.
-12.5 + 12.5 + 1x = 11.8 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
0.0 + 1x = 11.8 + 12.5
1x = 11.8 + 12.5

Combine like terms: 11.8 + 12.5 = 24.3
1x = 24.3

Divide each side by '1'.
x = 24.3

Simplifying
x = 24.3

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