0.02x+0.03(x+4)=0.12(x+1)-0.7

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Solution for 0.02x+0.03(x+4)=0.12(x+1)-0.7 equation: 


Simplifying
0.02x + 0.03(x + 4) = 0.12(x + 1) + -0.7

Reorder the terms:
0.02x + 0.03(4 + x) = 0.12(x + 1) + -0.7
0.02x + (4 * 0.03 + x * 0.03) = 0.12(x + 1) + -0.7
0.02x + (0.12 + 0.03x) = 0.12(x + 1) + -0.7

Reorder the terms:
0.12 + 0.02x + 0.03x = 0.12(x + 1) + -0.7

Combine like terms: 0.02x + 0.03x = 0.05x
0.12 + 0.05x = 0.12(x + 1) + -0.7

Reorder the terms:
0.12 + 0.05x = 0.12(1 + x) + -0.7
0.12 + 0.05x = (1 * 0.12 + x * 0.12) + -0.7
0.12 + 0.05x = (0.12 + 0.12x) + -0.7

Reorder the terms:
0.12 + 0.05x = 0.12 + -0.7 + 0.12x

Combine like terms: 0.12 + -0.7 = -0.58
0.12 + 0.05x = -0.58 + 0.12x

Solving
0.12 + 0.05x = -0.58 + 0.12x

Solving for variable 'x'.

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

Add '-0.12x' to each side of the equation.
0.12 + 0.05x + -0.12x = -0.58 + 0.12x + -0.12x

Combine like terms: 0.05x + -0.12x = -0.07x
0.12 + -0.07x = -0.58 + 0.12x + -0.12x

Combine like terms: 0.12x + -0.12x = 0.00
0.12 + -0.07x = -0.58 + 0.00
0.12 + -0.07x = -0.58

Add '-0.12' to each side of the equation.
0.12 + -0.12 + -0.07x = -0.58 + -0.12

Combine like terms: 0.12 + -0.12 = 0.00
0.00 + -0.07x = -0.58 + -0.12
-0.07x = -0.58 + -0.12

Combine like terms: -0.58 + -0.12 = -0.7
-0.07x = -0.7

Divide each side by '-0.07'.
x = 10

Simplifying
x = 10

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