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

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


Simplifying
-0.5(4x + -2) = -0.7 + 2(3x + 2)

Reorder the terms:
-0.5(-2 + 4x) = -0.7 + 2(3x + 2)
(-2 * -0.5 + 4x * -0.5) = -0.7 + 2(3x + 2)
(1 + -2x) = -0.7 + 2(3x + 2)

Reorder the terms:
1 + -2x = -0.7 + 2(2 + 3x)
1 + -2x = -0.7 + (2 * 2 + 3x * 2)
1 + -2x = -0.7 + (4 + 6x)

Combine like terms: -0.7 + 4 = 3.3
1 + -2x = 3.3 + 6x

Solving
1 + -2x = 3.3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + -2x + -6x = 3.3 + 6x + -6x

Combine like terms: -2x + -6x = -8x
1 + -8x = 3.3 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -8x = 3.3 + 0
1 + -8x = 3.3

Add '-1' to each side of the equation.
1 + -1 + -8x = 3.3 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = 3.3 + -1
-8x = 3.3 + -1

Combine like terms: 3.3 + -1 = 2.3
-8x = 2.3

Divide each side by '-8'.
x = -0.2875

Simplifying
x = -0.2875

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