.40(10x+25)=-10-4(x+3)

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Solution for .40(10x+25)=-10-4(x+3) equation:


Simplifying
0.40(10x + 25) = -10 + -4(x + 3)

Reorder the terms:
0.40(25 + 10x) = -10 + -4(x + 3)
(25 * 0.40 + 10x * 0.40) = -10 + -4(x + 3)
(10 + 4x) = -10 + -4(x + 3)

Reorder the terms:
10 + 4x = -10 + -4(3 + x)
10 + 4x = -10 + (3 * -4 + x * -4)
10 + 4x = -10 + (-12 + -4x)

Combine like terms: -10 + -12 = -22
10 + 4x = -22 + -4x

Solving
10 + 4x = -22 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
10 + 4x + 4x = -22 + -4x + 4x

Combine like terms: 4x + 4x = 8x
10 + 8x = -22 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 8x = -22 + 0
10 + 8x = -22

Add '-10' to each side of the equation.
10 + -10 + 8x = -22 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = -22 + -10
8x = -22 + -10

Combine like terms: -22 + -10 = -32
8x = -32

Divide each side by '8'.
x = -4

Simplifying
x = -4

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