0.4x-0.5(2x+3)=0.7(x+7)

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Solution for 0.4x-0.5(2x+3)=0.7(x+7) equation: 


Simplifying
0.4x + -0.5(2x + 3) = 0.7(x + 7)

Reorder the terms:
0.4x + -0.5(3 + 2x) = 0.7(x + 7)
0.4x + (3 * -0.5 + 2x * -0.5) = 0.7(x + 7)
0.4x + (-1.5 + -1x) = 0.7(x + 7)

Reorder the terms:
-1.5 + 0.4x + -1x = 0.7(x + 7)

Combine like terms: 0.4x + -1x = -0.6x
-1.5 + -0.6x = 0.7(x + 7)

Reorder the terms:
-1.5 + -0.6x = 0.7(7 + x)
-1.5 + -0.6x = (7 * 0.7 + x * 0.7)
-1.5 + -0.6x = (4.9 + 0.7x)

Solving
-1.5 + -0.6x = 4.9 + 0.7x

Solving for variable 'x'.

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

Add '-0.7x' to each side of the equation.
-1.5 + -0.6x + -0.7x = 4.9 + 0.7x + -0.7x

Combine like terms: -0.6x + -0.7x = -1.3x
-1.5 + -1.3x = 4.9 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
-1.5 + -1.3x = 4.9 + 0.0
-1.5 + -1.3x = 4.9

Add '1.5' to each side of the equation.
-1.5 + 1.5 + -1.3x = 4.9 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + -1.3x = 4.9 + 1.5
-1.3x = 4.9 + 1.5

Combine like terms: 4.9 + 1.5 = 6.4
-1.3x = 6.4

Divide each side by '-1.3'.
x = -4.923076923

Simplifying
x = -4.923076923

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