2x-5.3(x-1)-4=2(x-2)

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Solution for 2x-5.3(x-1)-4=2(x-2) equation: 


Simplifying
2x + -5.3(x + -1) + -4 = 2(x + -2)

Reorder the terms:
2x + -5.3(-1 + x) + -4 = 2(x + -2)
2x + (-1 * -5.3 + x * -5.3) + -4 = 2(x + -2)
2x + (5.3 + -5.3x) + -4 = 2(x + -2)

Reorder the terms:
5.3 + -4 + 2x + -5.3x = 2(x + -2)

Combine like terms: 5.3 + -4 = 1.3
1.3 + 2x + -5.3x = 2(x + -2)

Combine like terms: 2x + -5.3x = -3.3x
1.3 + -3.3x = 2(x + -2)

Reorder the terms:
1.3 + -3.3x = 2(-2 + x)
1.3 + -3.3x = (-2 * 2 + x * 2)
1.3 + -3.3x = (-4 + 2x)

Solving
1.3 + -3.3x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1.3 + -3.3x + -2x = -4 + 2x + -2x

Combine like terms: -3.3x + -2x = -5.3x
1.3 + -5.3x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
1.3 + -5.3x = -4 + 0
1.3 + -5.3x = -4

Add '-1.3' to each side of the equation.
1.3 + -1.3 + -5.3x = -4 + -1.3

Combine like terms: 1.3 + -1.3 = 0.0
0.0 + -5.3x = -4 + -1.3
-5.3x = -4 + -1.3

Combine like terms: -4 + -1.3 = -5.3
-5.3x = -5.3

Divide each side by '-5.3'.
x = 1

Simplifying
x = 1

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