5(2.1-x)=-2.5(3x-1)-7

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Solution for 5(2.1-x)=-2.5(3x-1)-7 equation: 


Simplifying
5(2.1 + -1x) = -2.5(3x + -1) + -7
(2.1 * 5 + -1x * 5) = -2.5(3x + -1) + -7
(10.5 + -5x) = -2.5(3x + -1) + -7

Reorder the terms:
10.5 + -5x = -2.5(-1 + 3x) + -7
10.5 + -5x = (-1 * -2.5 + 3x * -2.5) + -7
10.5 + -5x = (2.5 + -7.5x) + -7

Reorder the terms:
10.5 + -5x = 2.5 + -7 + -7.5x

Combine like terms: 2.5 + -7 = -4.5
10.5 + -5x = -4.5 + -7.5x

Solving
10.5 + -5x = -4.5 + -7.5x

Solving for variable 'x'.

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

Add '7.5x' to each side of the equation.
10.5 + -5x + 7.5x = -4.5 + -7.5x + 7.5x

Combine like terms: -5x + 7.5x = 2.5x
10.5 + 2.5x = -4.5 + -7.5x + 7.5x

Combine like terms: -7.5x + 7.5x = 0.0
10.5 + 2.5x = -4.5 + 0.0
10.5 + 2.5x = -4.5

Add '-10.5' to each side of the equation.
10.5 + -10.5 + 2.5x = -4.5 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + 2.5x = -4.5 + -10.5
2.5x = -4.5 + -10.5

Combine like terms: -4.5 + -10.5 = -15
2.5x = -15

Divide each side by '2.5'.
x = -6

Simplifying
x = -6

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