.25(x+4)=4x-2.6

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Solution for .25(x+4)=4x-2.6 equation:


Simplifying
0.25(x + 4) = 4x + -2.6

Reorder the terms:
0.25(4 + x) = 4x + -2.6
(4 * 0.25 + x * 0.25) = 4x + -2.6
(1 + 0.25x) = 4x + -2.6

Reorder the terms:
1 + 0.25x = -2.6 + 4x

Solving
1 + 0.25x = -2.6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1 + 0.25x + -4x = -2.6 + 4x + -4x

Combine like terms: 0.25x + -4x = -3.75x
1 + -3.75x = -2.6 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -3.75x = -2.6 + 0
1 + -3.75x = -2.6

Add '-1' to each side of the equation.
1 + -1 + -3.75x = -2.6 + -1

Combine like terms: 1 + -1 = 0
0 + -3.75x = -2.6 + -1
-3.75x = -2.6 + -1

Combine like terms: -2.6 + -1 = -3.6
-3.75x = -3.6

Divide each side by '-3.75'.
x = 0.96

Simplifying
x = 0.96

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