5(3-2x)=2(x-7)

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


Simplifying
5(3 + -2x) = 2(x + -7)
(3 * 5 + -2x * 5) = 2(x + -7)
(15 + -10x) = 2(x + -7)

Reorder the terms:
15 + -10x = 2(-7 + x)
15 + -10x = (-7 * 2 + x * 2)
15 + -10x = (-14 + 2x)

Solving
15 + -10x = -14 + 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.
15 + -10x + -2x = -14 + 2x + -2x

Combine like terms: -10x + -2x = -12x
15 + -12x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -12x = -14 + 0
15 + -12x = -14

Add '-15' to each side of the equation.
15 + -15 + -12x = -14 + -15

Combine like terms: 15 + -15 = 0
0 + -12x = -14 + -15
-12x = -14 + -15

Combine like terms: -14 + -15 = -29
-12x = -29

Divide each side by '-12'.
x = 2.416666667

Simplifying
x = 2.416666667

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