2.3(x-1)=1.4(x-10)

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Solution for 2.3(x-1)=1.4(x-10) equation: 


Simplifying
2.3(x + -1) = 1.4(x + -10)

Reorder the terms:
2.3(-1 + x) = 1.4(x + -10)
(-1 * 2.3 + x * 2.3) = 1.4(x + -10)
(-2.3 + 2.3x) = 1.4(x + -10)

Reorder the terms:
-2.3 + 2.3x = 1.4(-10 + x)
-2.3 + 2.3x = (-10 * 1.4 + x * 1.4)
-2.3 + 2.3x = (-14 + 1.4x)

Solving
-2.3 + 2.3x = -14 + 1.4x

Solving for variable 'x'.

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

Add '-1.4x' to each side of the equation.
-2.3 + 2.3x + -1.4x = -14 + 1.4x + -1.4x

Combine like terms: 2.3x + -1.4x = 0.9x
-2.3 + 0.9x = -14 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
-2.3 + 0.9x = -14 + 0.0
-2.3 + 0.9x = -14

Add '2.3' to each side of the equation.
-2.3 + 2.3 + 0.9x = -14 + 2.3

Combine like terms: -2.3 + 2.3 = 0.0
0.0 + 0.9x = -14 + 2.3
0.9x = -14 + 2.3

Combine like terms: -14 + 2.3 = -11.7
0.9x = -11.7

Divide each side by '0.9'.
x = -13

Simplifying
x = -13

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