4(2.5x-2)=2(6x-5)+5

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Solution for 4(2.5x-2)=2(6x-5)+5 equation:


Simplifying
4(2.5x + -2) = 2(6x + -5) + 5

Reorder the terms:
4(-2 + 2.5x) = 2(6x + -5) + 5
(-2 * 4 + 2.5x * 4) = 2(6x + -5) + 5
(-8 + 10x) = 2(6x + -5) + 5

Reorder the terms:
-8 + 10x = 2(-5 + 6x) + 5
-8 + 10x = (-5 * 2 + 6x * 2) + 5
-8 + 10x = (-10 + 12x) + 5

Reorder the terms:
-8 + 10x = -10 + 5 + 12x

Combine like terms: -10 + 5 = -5
-8 + 10x = -5 + 12x

Solving
-8 + 10x = -5 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-8 + 10x + -12x = -5 + 12x + -12x

Combine like terms: 10x + -12x = -2x
-8 + -2x = -5 + 12x + -12x

Combine like terms: 12x + -12x = 0
-8 + -2x = -5 + 0
-8 + -2x = -5

Add '8' to each side of the equation.
-8 + 8 + -2x = -5 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -5 + 8
-2x = -5 + 8

Combine like terms: -5 + 8 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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