.4(7x-1)=3(2x+1)-4(x+6)

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Solution for .4(7x-1)=3(2x+1)-4(x+6) equation:


Simplifying
0.4(7x + -1) = 3(2x + 1) + -4(x + 6)

Reorder the terms:
0.4(-1 + 7x) = 3(2x + 1) + -4(x + 6)
(-1 * 0.4 + 7x * 0.4) = 3(2x + 1) + -4(x + 6)
(-0.4 + 2.8x) = 3(2x + 1) + -4(x + 6)

Reorder the terms:
-0.4 + 2.8x = 3(1 + 2x) + -4(x + 6)
-0.4 + 2.8x = (1 * 3 + 2x * 3) + -4(x + 6)
-0.4 + 2.8x = (3 + 6x) + -4(x + 6)

Reorder the terms:
-0.4 + 2.8x = 3 + 6x + -4(6 + x)
-0.4 + 2.8x = 3 + 6x + (6 * -4 + x * -4)
-0.4 + 2.8x = 3 + 6x + (-24 + -4x)

Reorder the terms:
-0.4 + 2.8x = 3 + -24 + 6x + -4x

Combine like terms: 3 + -24 = -21
-0.4 + 2.8x = -21 + 6x + -4x

Combine like terms: 6x + -4x = 2x
-0.4 + 2.8x = -21 + 2x

Solving
-0.4 + 2.8x = -21 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-0.4 + 2.8x + -2x = -21 + 2x + -2x

Combine like terms: 2.8x + -2x = 0.8x
-0.4 + 0.8x = -21 + 2x + -2x

Combine like terms: 2x + -2x = 0
-0.4 + 0.8x = -21 + 0
-0.4 + 0.8x = -21

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.8x = -21 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.8x = -21 + 0.4
0.8x = -21 + 0.4

Combine like terms: -21 + 0.4 = -20.6
0.8x = -20.6

Divide each side by '0.8'.
x = -25.75

Simplifying
x = -25.75

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