5(x-1)+6(x+2)=7(x-3)

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Solution for 5(x-1)+6(x+2)=7(x-3) equation:


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

Reorder the terms:
5(-1 + x) + 6(x + 2) = 7(x + -3)
(-1 * 5 + x * 5) + 6(x + 2) = 7(x + -3)
(-5 + 5x) + 6(x + 2) = 7(x + -3)

Reorder the terms:
-5 + 5x + 6(2 + x) = 7(x + -3)
-5 + 5x + (2 * 6 + x * 6) = 7(x + -3)
-5 + 5x + (12 + 6x) = 7(x + -3)

Reorder the terms:
-5 + 12 + 5x + 6x = 7(x + -3)

Combine like terms: -5 + 12 = 7
7 + 5x + 6x = 7(x + -3)

Combine like terms: 5x + 6x = 11x
7 + 11x = 7(x + -3)

Reorder the terms:
7 + 11x = 7(-3 + x)
7 + 11x = (-3 * 7 + x * 7)
7 + 11x = (-21 + 7x)

Solving
7 + 11x = -21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
7 + 11x + -7x = -21 + 7x + -7x

Combine like terms: 11x + -7x = 4x
7 + 4x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
7 + 4x = -21 + 0
7 + 4x = -21

Add '-7' to each side of the equation.
7 + -7 + 4x = -21 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = -21 + -7
4x = -21 + -7

Combine like terms: -21 + -7 = -28
4x = -28

Divide each side by '4'.
x = -7

Simplifying
x = -7

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