7x-2(2x-3)=2.5(2x+4)

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Solution for 7x-2(2x-3)=2.5(2x+4) equation:


Simplifying
7x + -2(2x + -3) = 2.5(2x + 4)

Reorder the terms:
7x + -2(-3 + 2x) = 2.5(2x + 4)
7x + (-3 * -2 + 2x * -2) = 2.5(2x + 4)
7x + (6 + -4x) = 2.5(2x + 4)

Reorder the terms:
6 + 7x + -4x = 2.5(2x + 4)

Combine like terms: 7x + -4x = 3x
6 + 3x = 2.5(2x + 4)

Reorder the terms:
6 + 3x = 2.5(4 + 2x)
6 + 3x = (4 * 2.5 + 2x * 2.5)
6 + 3x = (10 + 5x)

Solving
6 + 3x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 3x + -5x = 10 + 5x + -5x

Combine like terms: 3x + -5x = -2x
6 + -2x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -2x = 10 + 0
6 + -2x = 10

Add '-6' to each side of the equation.
6 + -6 + -2x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 10 + -6
-2x = 10 + -6

Combine like terms: 10 + -6 = 4
-2x = 4

Divide each side by '-2'.
x = -2

Simplifying
x = -2

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