.2(2x+13)=4(1-4x)+15

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Solution for .2(2x+13)=4(1-4x)+15 equation:


Simplifying
0.2(2x + 13) = 4(1 + -4x) + 15

Reorder the terms:
0.2(13 + 2x) = 4(1 + -4x) + 15
(13 * 0.2 + 2x * 0.2) = 4(1 + -4x) + 15
(2.6 + 0.4x) = 4(1 + -4x) + 15
2.6 + 0.4x = (1 * 4 + -4x * 4) + 15
2.6 + 0.4x = (4 + -16x) + 15

Reorder the terms:
2.6 + 0.4x = 4 + 15 + -16x

Combine like terms: 4 + 15 = 19
2.6 + 0.4x = 19 + -16x

Solving
2.6 + 0.4x = 19 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
2.6 + 0.4x + 16x = 19 + -16x + 16x

Combine like terms: 0.4x + 16x = 16.4x
2.6 + 16.4x = 19 + -16x + 16x

Combine like terms: -16x + 16x = 0
2.6 + 16.4x = 19 + 0
2.6 + 16.4x = 19

Add '-2.6' to each side of the equation.
2.6 + -2.6 + 16.4x = 19 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + 16.4x = 19 + -2.6
16.4x = 19 + -2.6

Combine like terms: 19 + -2.6 = 16.4
16.4x = 16.4

Divide each side by '16.4'.
x = 1

Simplifying
x = 1

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