7+.2(x-1)=5+.3(x-1)

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Solution for 7+.2(x-1)=5+.3(x-1) equation: 


Simplifying
7 + 0.2(x + -1) = 5 + 0.3(x + -1)

Reorder the terms:
7 + 0.2(-1 + x) = 5 + 0.3(x + -1)
7 + (-1 * 0.2 + x * 0.2) = 5 + 0.3(x + -1)
7 + (-0.2 + 0.2x) = 5 + 0.3(x + -1)

Combine like terms: 7 + -0.2 = 6.8
6.8 + 0.2x = 5 + 0.3(x + -1)

Reorder the terms:
6.8 + 0.2x = 5 + 0.3(-1 + x)
6.8 + 0.2x = 5 + (-1 * 0.3 + x * 0.3)
6.8 + 0.2x = 5 + (-0.3 + 0.3x)

Combine like terms: 5 + -0.3 = 4.7
6.8 + 0.2x = 4.7 + 0.3x

Solving
6.8 + 0.2x = 4.7 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
6.8 + 0.2x + -0.3x = 4.7 + 0.3x + -0.3x

Combine like terms: 0.2x + -0.3x = -0.1x
6.8 + -0.1x = 4.7 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
6.8 + -0.1x = 4.7 + 0.0
6.8 + -0.1x = 4.7

Add '-6.8' to each side of the equation.
6.8 + -6.8 + -0.1x = 4.7 + -6.8

Combine like terms: 6.8 + -6.8 = 0.0
0.0 + -0.1x = 4.7 + -6.8
-0.1x = 4.7 + -6.8

Combine like terms: 4.7 + -6.8 = -2.1
-0.1x = -2.1

Divide each side by '-0.1'.
x = 21

Simplifying
x = 21

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