(1+.0700)=(1+x)*(1+.040)

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Solution for (1+.0700)=(1+x)*(1+.040) equation:


Simplifying
(1 + 0.0700) = (1 + x)(1 + 0.040)

Combine like terms: 1 + 0.0700 = 1.07
(1.07) = (1 + x)(1 + 0.040)
1.07 = (1 + x)(1 + 0.040)

Combine like terms: 1 + 0.040 = 1.04
1.07 = (1 + x)(1.04)

Reorder the terms for easier multiplication:
1.07 = 1.04(1 + x)
1.07 = (1 * 1.04 + x * 1.04)
1.07 = (1.04 + 1.04x)

Solving
1.07 = 1.04 + 1.04x

Solving for variable 'x'.

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

Add '-1.04x' to each side of the equation.
1.07 + -1.04x = 1.04 + 1.04x + -1.04x

Combine like terms: 1.04x + -1.04x = 0.00
1.07 + -1.04x = 1.04 + 0.00
1.07 + -1.04x = 1.04

Add '-1.07' to each side of the equation.
1.07 + -1.07 + -1.04x = 1.04 + -1.07

Combine like terms: 1.07 + -1.07 = 0.00
0.00 + -1.04x = 1.04 + -1.07
-1.04x = 1.04 + -1.07

Combine like terms: 1.04 + -1.07 = -0.03
-1.04x = -0.03

Divide each side by '-1.04'.
x = 0.02884615385

Simplifying
x = 0.02884615385

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