.3(x+7)=.5(x-4)+1

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Solution for .3(x+7)=.5(x-4)+1 equation: 


Simplifying
0.3(x + 7) = 0.5(x + -4) + 1

Reorder the terms:
0.3(7 + x) = 0.5(x + -4) + 1
(7 * 0.3 + x * 0.3) = 0.5(x + -4) + 1
(2.1 + 0.3x) = 0.5(x + -4) + 1

Reorder the terms:
2.1 + 0.3x = 0.5(-4 + x) + 1
2.1 + 0.3x = (-4 * 0.5 + x * 0.5) + 1
2.1 + 0.3x = (-2 + 0.5x) + 1

Reorder the terms:
2.1 + 0.3x = -2 + 1 + 0.5x

Combine like terms: -2 + 1 = -1
2.1 + 0.3x = -1 + 0.5x

Solving
2.1 + 0.3x = -1 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
2.1 + 0.3x + -0.5x = -1 + 0.5x + -0.5x

Combine like terms: 0.3x + -0.5x = -0.2x
2.1 + -0.2x = -1 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
2.1 + -0.2x = -1 + 0.0
2.1 + -0.2x = -1

Add '-2.1' to each side of the equation.
2.1 + -2.1 + -0.2x = -1 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + -0.2x = -1 + -2.1
-0.2x = -1 + -2.1

Combine like terms: -1 + -2.1 = -3.1
-0.2x = -3.1

Divide each side by '-0.2'.
x = 15.5

Simplifying
x = 15.5

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