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

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


Simplifying
7x + -4(3 + -1x) = 3(2x + -5)
7x + (3 * -4 + -1x * -4) = 3(2x + -5)
7x + (-12 + 4x) = 3(2x + -5)

Reorder the terms:
-12 + 7x + 4x = 3(2x + -5)

Combine like terms: 7x + 4x = 11x
-12 + 11x = 3(2x + -5)

Reorder the terms:
-12 + 11x = 3(-5 + 2x)
-12 + 11x = (-5 * 3 + 2x * 3)
-12 + 11x = (-15 + 6x)

Solving
-12 + 11x = -15 + 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.
-12 + 11x + -6x = -15 + 6x + -6x

Combine like terms: 11x + -6x = 5x
-12 + 5x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + 5x = -15 + 0
-12 + 5x = -15

Add '12' to each side of the equation.
-12 + 12 + 5x = -15 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = -15 + 12
5x = -15 + 12

Combine like terms: -15 + 12 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6

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