2(x+4)=7x-2.5

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


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

Reorder the terms:
2(4 + x) = 7x + -2.5
(4 * 2 + x * 2) = 7x + -2.5
(8 + 2x) = 7x + -2.5

Reorder the terms:
8 + 2x = -2.5 + 7x

Solving
8 + 2x = -2.5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + 2x + -7x = -2.5 + 7x + -7x

Combine like terms: 2x + -7x = -5x
8 + -5x = -2.5 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -5x = -2.5 + 0
8 + -5x = -2.5

Add '-8' to each side of the equation.
8 + -8 + -5x = -2.5 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -2.5 + -8
-5x = -2.5 + -8

Combine like terms: -2.5 + -8 = -10.5
-5x = -10.5

Divide each side by '-5'.
x = 2.1

Simplifying
x = 2.1

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