-2(2x-5)=0.5(6x+3)

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Solution for -2(2x-5)=0.5(6x+3) equation:


Simplifying
-2(2x + -5) = 0.5(6x + 3)

Reorder the terms:
-2(-5 + 2x) = 0.5(6x + 3)
(-5 * -2 + 2x * -2) = 0.5(6x + 3)
(10 + -4x) = 0.5(6x + 3)

Reorder the terms:
10 + -4x = 0.5(3 + 6x)
10 + -4x = (3 * 0.5 + 6x * 0.5)
10 + -4x = (1.5 + 3x)

Solving
10 + -4x = 1.5 + 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.
10 + -4x + -3x = 1.5 + 3x + -3x

Combine like terms: -4x + -3x = -7x
10 + -7x = 1.5 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -7x = 1.5 + 0
10 + -7x = 1.5

Add '-10' to each side of the equation.
10 + -10 + -7x = 1.5 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = 1.5 + -10
-7x = 1.5 + -10

Combine like terms: 1.5 + -10 = -8.5
-7x = -8.5

Divide each side by '-7'.
x = 1.214285714

Simplifying
x = 1.214285714

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