4.2(x+4.6)=2.4x+7.44

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Solution for 4.2(x+4.6)=2.4x+7.44 equation: 


Simplifying
4.2(x + 4.6) = 2.4x + 7.44

Reorder the terms:
4.2(4.6 + x) = 2.4x + 7.44
(4.6 * 4.2 + x * 4.2) = 2.4x + 7.44
(19.32 + 4.2x) = 2.4x + 7.44

Reorder the terms:
19.32 + 4.2x = 7.44 + 2.4x

Solving
19.32 + 4.2x = 7.44 + 2.4x

Solving for variable 'x'.

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

Add '-2.4x' to each side of the equation.
19.32 + 4.2x + -2.4x = 7.44 + 2.4x + -2.4x

Combine like terms: 4.2x + -2.4x = 1.8x
19.32 + 1.8x = 7.44 + 2.4x + -2.4x

Combine like terms: 2.4x + -2.4x = 0.0
19.32 + 1.8x = 7.44 + 0.0
19.32 + 1.8x = 7.44

Add '-19.32' to each side of the equation.
19.32 + -19.32 + 1.8x = 7.44 + -19.32

Combine like terms: 19.32 + -19.32 = 0.00
0.00 + 1.8x = 7.44 + -19.32
1.8x = 7.44 + -19.32

Combine like terms: 7.44 + -19.32 = -11.88
1.8x = -11.88

Divide each side by '1.8'.
x = -6.6

Simplifying
x = -6.6

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