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

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


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

Reorder the terms:
2(-3 + 3x) + 0.5(7 + 2x) = 0.5 + 3(x + -1)
(-3 * 2 + 3x * 2) + 0.5(7 + 2x) = 0.5 + 3(x + -1)
(-6 + 6x) + 0.5(7 + 2x) = 0.5 + 3(x + -1)
-6 + 6x + (7 * 0.5 + 2x * 0.5) = 0.5 + 3(x + -1)
-6 + 6x + (3.5 + 1x) = 0.5 + 3(x + -1)

Reorder the terms:
-6 + 3.5 + 6x + 1x = 0.5 + 3(x + -1)

Combine like terms: -6 + 3.5 = -2.5
-2.5 + 6x + 1x = 0.5 + 3(x + -1)

Combine like terms: 6x + 1x = 7x
-2.5 + 7x = 0.5 + 3(x + -1)

Reorder the terms:
-2.5 + 7x = 0.5 + 3(-1 + x)
-2.5 + 7x = 0.5 + (-1 * 3 + x * 3)
-2.5 + 7x = 0.5 + (-3 + 3x)

Combine like terms: 0.5 + -3 = -2.5
-2.5 + 7x = -2.5 + 3x

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 7x = -2.5 + 2.5 + 3x

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 7x = -2.5 + 2.5 + 3x
7x = -2.5 + 2.5 + 3x

Combine like terms: -2.5 + 2.5 = 0.0
7x = 0.0 + 3x
7x = 3x

Solving
7x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
7x + -3x = 3x + -3x

Combine like terms: 7x + -3x = 4x
4x = 3x + -3x

Combine like terms: 3x + -3x = 0
4x = 0

Divide each side by '4'.
x = 0

Simplifying
x = 0

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