1.5(x+5)+2=7(1-x)

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Solution for 1.5(x+5)+2=7(1-x) equation: 


Simplifying
1.5(x + 5) + 2 = 7(1 + -1x)

Reorder the terms:
1.5(5 + x) + 2 = 7(1 + -1x)
(5 * 1.5 + x * 1.5) + 2 = 7(1 + -1x)
(7.5 + 1.5x) + 2 = 7(1 + -1x)

Reorder the terms:
7.5 + 2 + 1.5x = 7(1 + -1x)

Combine like terms: 7.5 + 2 = 9.5
9.5 + 1.5x = 7(1 + -1x)
9.5 + 1.5x = (1 * 7 + -1x * 7)
9.5 + 1.5x = (7 + -7x)

Solving
9.5 + 1.5x = 7 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
9.5 + 1.5x + 7x = 7 + -7x + 7x

Combine like terms: 1.5x + 7x = 8.5x
9.5 + 8.5x = 7 + -7x + 7x

Combine like terms: -7x + 7x = 0
9.5 + 8.5x = 7 + 0
9.5 + 8.5x = 7

Add '-9.5' to each side of the equation.
9.5 + -9.5 + 8.5x = 7 + -9.5

Combine like terms: 9.5 + -9.5 = 0.0
0.0 + 8.5x = 7 + -9.5
8.5x = 7 + -9.5

Combine like terms: 7 + -9.5 = -2.5
8.5x = -2.5

Divide each side by '8.5'.
x = -0.2941176471

Simplifying
x = -0.2941176471

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