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

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


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

Reorder the terms:
-3(-5 + 2x) = 7 + -4x
(-5 * -3 + 2x * -3) = 7 + -4x
(15 + -6x) = 7 + -4x

Solving
15 + -6x = 7 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
15 + -6x + 4x = 7 + -4x + 4x

Combine like terms: -6x + 4x = -2x
15 + -2x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
15 + -2x = 7 + 0
15 + -2x = 7

Add '-15' to each side of the equation.
15 + -15 + -2x = 7 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 7 + -15
-2x = 7 + -15

Combine like terms: 7 + -15 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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