13x-4(x-1)=7-3(2x-6)

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Solution for 13x-4(x-1)=7-3(2x-6) equation:


Simplifying
13x + -4(x + -1) = 7 + -3(2x + -6)

Reorder the terms:
13x + -4(-1 + x) = 7 + -3(2x + -6)
13x + (-1 * -4 + x * -4) = 7 + -3(2x + -6)
13x + (4 + -4x) = 7 + -3(2x + -6)

Reorder the terms:
4 + 13x + -4x = 7 + -3(2x + -6)

Combine like terms: 13x + -4x = 9x
4 + 9x = 7 + -3(2x + -6)

Reorder the terms:
4 + 9x = 7 + -3(-6 + 2x)
4 + 9x = 7 + (-6 * -3 + 2x * -3)
4 + 9x = 7 + (18 + -6x)

Combine like terms: 7 + 18 = 25
4 + 9x = 25 + -6x

Solving
4 + 9x = 25 + -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.
4 + 9x + 6x = 25 + -6x + 6x

Combine like terms: 9x + 6x = 15x
4 + 15x = 25 + -6x + 6x

Combine like terms: -6x + 6x = 0
4 + 15x = 25 + 0
4 + 15x = 25

Add '-4' to each side of the equation.
4 + -4 + 15x = 25 + -4

Combine like terms: 4 + -4 = 0
0 + 15x = 25 + -4
15x = 25 + -4

Combine like terms: 25 + -4 = 21
15x = 21

Divide each side by '15'.
x = 1.4

Simplifying
x = 1.4

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