4.5-3(x+2.7)=7(8.1-4x)

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Solution for 4.5-3(x+2.7)=7(8.1-4x) equation:


Simplifying
4.5 + -3(x + 2.7) = 7(8.1 + -4x)

Reorder the terms:
4.5 + -3(2.7 + x) = 7(8.1 + -4x)
4.5 + (2.7 * -3 + x * -3) = 7(8.1 + -4x)
4.5 + (-8.1 + -3x) = 7(8.1 + -4x)

Combine like terms: 4.5 + -8.1 = -3.6
-3.6 + -3x = 7(8.1 + -4x)
-3.6 + -3x = (8.1 * 7 + -4x * 7)
-3.6 + -3x = (56.7 + -28x)

Solving
-3.6 + -3x = 56.7 + -28x

Solving for variable 'x'.

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

Add '28x' to each side of the equation.
-3.6 + -3x + 28x = 56.7 + -28x + 28x

Combine like terms: -3x + 28x = 25x
-3.6 + 25x = 56.7 + -28x + 28x

Combine like terms: -28x + 28x = 0
-3.6 + 25x = 56.7 + 0
-3.6 + 25x = 56.7

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 25x = 56.7 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 25x = 56.7 + 3.6
25x = 56.7 + 3.6

Combine like terms: 56.7 + 3.6 = 60.3
25x = 60.3

Divide each side by '25'.
x = 2.412

Simplifying
x = 2.412

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