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

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


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

Reorder the terms:
7 + -4x = -2(-5 + 3x)
7 + -4x = (-5 * -2 + 3x * -2)
7 + -4x = (10 + -6x)

Solving
7 + -4x = 10 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
7 + -4x + 6x = 10 + -6x + 6x

Combine like terms: -4x + 6x = 2x
7 + 2x = 10 + -6x + 6x

Combine like terms: -6x + 6x = 0
7 + 2x = 10 + 0
7 + 2x = 10

Add '-7' to each side of the equation.
7 + -7 + 2x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 10 + -7
2x = 10 + -7

Combine like terms: 10 + -7 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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