1.5(7-x)=3(5-x)

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Solution for 1.5(7-x)=3(5-x) equation:


Simplifying
1.5(7 + -1x) = 3(5 + -1x)
(7 * 1.5 + -1x * 1.5) = 3(5 + -1x)
(10.5 + -1.5x) = 3(5 + -1x)
10.5 + -1.5x = (5 * 3 + -1x * 3)
10.5 + -1.5x = (15 + -3x)

Solving
10.5 + -1.5x = 15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10.5 + -1.5x + 3x = 15 + -3x + 3x

Combine like terms: -1.5x + 3x = 1.5x
10.5 + 1.5x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
10.5 + 1.5x = 15 + 0
10.5 + 1.5x = 15

Add '-10.5' to each side of the equation.
10.5 + -10.5 + 1.5x = 15 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + 1.5x = 15 + -10.5
1.5x = 15 + -10.5

Combine like terms: 15 + -10.5 = 4.5
1.5x = 4.5

Divide each side by '1.5'.
x = 3

Simplifying
x = 3

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