4(2x+5)=3.5x-2+2.5x

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Solution for 4(2x+5)=3.5x-2+2.5x equation:


Simplifying
4(2x + 5) = 3.5x + -2 + 2.5x

Reorder the terms:
4(5 + 2x) = 3.5x + -2 + 2.5x
(5 * 4 + 2x * 4) = 3.5x + -2 + 2.5x
(20 + 8x) = 3.5x + -2 + 2.5x

Reorder the terms:
20 + 8x = -2 + 3.5x + 2.5x

Combine like terms: 3.5x + 2.5x = 6x
20 + 8x = -2 + 6x

Solving
20 + 8x = -2 + 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.
20 + 8x + -6x = -2 + 6x + -6x

Combine like terms: 8x + -6x = 2x
20 + 2x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + 2x = -2 + 0
20 + 2x = -2

Add '-20' to each side of the equation.
20 + -20 + 2x = -2 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = -2 + -20
2x = -2 + -20

Combine like terms: -2 + -20 = -22
2x = -22

Divide each side by '2'.
x = -11

Simplifying
x = -11

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