7(x-0.4)+3(0.6+7x)=6(4x-5.2)

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Solution for 7(x-0.4)+3(0.6+7x)=6(4x-5.2) equation:


Simplifying
7(x + -0.4) + 3(0.6 + 7x) = 6(4x + -5.2)

Reorder the terms:
7(-0.4 + x) + 3(0.6 + 7x) = 6(4x + -5.2)
(-0.4 * 7 + x * 7) + 3(0.6 + 7x) = 6(4x + -5.2)
(-2.8 + 7x) + 3(0.6 + 7x) = 6(4x + -5.2)
-2.8 + 7x + (0.6 * 3 + 7x * 3) = 6(4x + -5.2)
-2.8 + 7x + (1.8 + 21x) = 6(4x + -5.2)

Reorder the terms:
-2.8 + 1.8 + 7x + 21x = 6(4x + -5.2)

Combine like terms: -2.8 + 1.8 = -1
-1 + 7x + 21x = 6(4x + -5.2)

Combine like terms: 7x + 21x = 28x
-1 + 28x = 6(4x + -5.2)

Reorder the terms:
-1 + 28x = 6(-5.2 + 4x)
-1 + 28x = (-5.2 * 6 + 4x * 6)
-1 + 28x = (-31.2 + 24x)

Solving
-1 + 28x = -31.2 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-1 + 28x + -24x = -31.2 + 24x + -24x

Combine like terms: 28x + -24x = 4x
-1 + 4x = -31.2 + 24x + -24x

Combine like terms: 24x + -24x = 0
-1 + 4x = -31.2 + 0
-1 + 4x = -31.2

Add '1' to each side of the equation.
-1 + 1 + 4x = -31.2 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = -31.2 + 1
4x = -31.2 + 1

Combine like terms: -31.2 + 1 = -30.2
4x = -30.2

Divide each side by '4'.
x = -7.55

Simplifying
x = -7.55

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