-3(x-7)=2(4x-5)

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Solution for -3(x-7)=2(4x-5) equation:


Simplifying
-3(x + -7) = 2(4x + -5)

Reorder the terms:
-3(-7 + x) = 2(4x + -5)
(-7 * -3 + x * -3) = 2(4x + -5)
(21 + -3x) = 2(4x + -5)

Reorder the terms:
21 + -3x = 2(-5 + 4x)
21 + -3x = (-5 * 2 + 4x * 2)
21 + -3x = (-10 + 8x)

Solving
21 + -3x = -10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
21 + -3x + -8x = -10 + 8x + -8x

Combine like terms: -3x + -8x = -11x
21 + -11x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
21 + -11x = -10 + 0
21 + -11x = -10

Add '-21' to each side of the equation.
21 + -21 + -11x = -10 + -21

Combine like terms: 21 + -21 = 0
0 + -11x = -10 + -21
-11x = -10 + -21

Combine like terms: -10 + -21 = -31
-11x = -31

Divide each side by '-11'.
x = 2.818181818

Simplifying
x = 2.818181818

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