2.9[x+4.1]-9.9=6[x+1]-13

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Solution for 2.9[x+4.1]-9.9=6[x+1]-13 equation:


Simplifying
2.9[x + 4.1] + -9.9 = 6[x + 1] + -13

Reorder the terms:
2.9[4.1 + x] + -9.9 = 6[x + 1] + -13
[4.1 * 2.9 + x * 2.9] + -9.9 = 6[x + 1] + -13
[11.89 + 2.9x] + -9.9 = 6[x + 1] + -13

Reorder the terms:
11.89 + -9.9 + 2.9x = 6[x + 1] + -13

Combine like terms: 11.89 + -9.9 = 1.99
1.99 + 2.9x = 6[x + 1] + -13

Reorder the terms:
1.99 + 2.9x = 6[1 + x] + -13
1.99 + 2.9x = [1 * 6 + x * 6] + -13
1.99 + 2.9x = [6 + 6x] + -13

Reorder the terms:
1.99 + 2.9x = 6 + -13 + 6x

Combine like terms: 6 + -13 = -7
1.99 + 2.9x = -7 + 6x

Solving
1.99 + 2.9x = -7 + 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.
1.99 + 2.9x + -6x = -7 + 6x + -6x

Combine like terms: 2.9x + -6x = -3.1x
1.99 + -3.1x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
1.99 + -3.1x = -7 + 0
1.99 + -3.1x = -7

Add '-1.99' to each side of the equation.
1.99 + -1.99 + -3.1x = -7 + -1.99

Combine like terms: 1.99 + -1.99 = 0.00
0.00 + -3.1x = -7 + -1.99
-3.1x = -7 + -1.99

Combine like terms: -7 + -1.99 = -8.99
-3.1x = -8.99

Divide each side by '-3.1'.
x = 2.9

Simplifying
x = 2.9

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