(3657+x*1.9)*1.1=(2000+(1841+x)*1.33)*1.1

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Solution for (3657+x*1.9)*1.1=(2000+(1841+x)*1.33)*1.1 equation:


Simplifying
(3657 + x * 1.9) * 1.1 = (2000 + (1841 + x) * 1.33) * 1.1

Reorder the terms for easier multiplication:
(3657 + 1.9x) * 1.1 = (2000 + (1841 + x) * 1.33) * 1.1

Reorder the terms for easier multiplication:
1.1(3657 + 1.9x) = (2000 + (1841 + x) * 1.33) * 1.1
(3657 * 1.1 + 1.9x * 1.1) = (2000 + (1841 + x) * 1.33) * 1.1
(4022.7 + 2.09x) = (2000 + (1841 + x) * 1.33) * 1.1

Reorder the terms for easier multiplication:
4022.7 + 2.09x = (2000 + 1.33(1841 + x)) * 1.1
4022.7 + 2.09x = (2000 + (1841 * 1.33 + x * 1.33)) * 1.1
4022.7 + 2.09x = (2000 + (2448.53 + 1.33x)) * 1.1

Combine like terms: 2000 + 2448.53 = 4448.53
4022.7 + 2.09x = (4448.53 + 1.33x) * 1.1

Reorder the terms for easier multiplication:
4022.7 + 2.09x = 1.1(4448.53 + 1.33x)
4022.7 + 2.09x = (4448.53 * 1.1 + 1.33x * 1.1)
4022.7 + 2.09x = (4893.383 + 1.463x)

Solving
4022.7 + 2.09x = 4893.383 + 1.463x

Solving for variable 'x'.

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

Add '-1.463x' to each side of the equation.
4022.7 + 2.09x + -1.463x = 4893.383 + 1.463x + -1.463x

Combine like terms: 2.09x + -1.463x = 0.627x
4022.7 + 0.627x = 4893.383 + 1.463x + -1.463x

Combine like terms: 1.463x + -1.463x = 0.000
4022.7 + 0.627x = 4893.383 + 0.000
4022.7 + 0.627x = 4893.383

Add '-4022.7' to each side of the equation.
4022.7 + -4022.7 + 0.627x = 4893.383 + -4022.7

Combine like terms: 4022.7 + -4022.7 = 0.0
0.0 + 0.627x = 4893.383 + -4022.7
0.627x = 4893.383 + -4022.7

Combine like terms: 4893.383 + -4022.7 = 870.683
0.627x = 870.683

Divide each side by '0.627'.
x = 1388.649123

Simplifying
x = 1388.649123

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