.5(5x+1)=4(2-3x)+7

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Solution for .5(5x+1)=4(2-3x)+7 equation: 


Simplifying
0.5(5x + 1) = 4(2 + -3x) + 7

Reorder the terms:
0.5(1 + 5x) = 4(2 + -3x) + 7
(1 * 0.5 + 5x * 0.5) = 4(2 + -3x) + 7
(0.5 + 2.5x) = 4(2 + -3x) + 7
0.5 + 2.5x = (2 * 4 + -3x * 4) + 7
0.5 + 2.5x = (8 + -12x) + 7

Reorder the terms:
0.5 + 2.5x = 8 + 7 + -12x

Combine like terms: 8 + 7 = 15
0.5 + 2.5x = 15 + -12x

Solving
0.5 + 2.5x = 15 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
0.5 + 2.5x + 12x = 15 + -12x + 12x

Combine like terms: 2.5x + 12x = 14.5x
0.5 + 14.5x = 15 + -12x + 12x

Combine like terms: -12x + 12x = 0
0.5 + 14.5x = 15 + 0
0.5 + 14.5x = 15

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 14.5x = 15 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 14.5x = 15 + -0.5
14.5x = 15 + -0.5

Combine like terms: 15 + -0.5 = 14.5
14.5x = 14.5

Divide each side by '14.5'.
x = 1

Simplifying
x = 1

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