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

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


Simplifying
5(2 + -3x) + -3(x + -1) = 3 + -1(x + 7)
(2 * 5 + -3x * 5) + -3(x + -1) = 3 + -1(x + 7)
(10 + -15x) + -3(x + -1) = 3 + -1(x + 7)

Reorder the terms:
10 + -15x + -3(-1 + x) = 3 + -1(x + 7)
10 + -15x + (-1 * -3 + x * -3) = 3 + -1(x + 7)
10 + -15x + (3 + -3x) = 3 + -1(x + 7)

Reorder the terms:
10 + 3 + -15x + -3x = 3 + -1(x + 7)

Combine like terms: 10 + 3 = 13
13 + -15x + -3x = 3 + -1(x + 7)

Combine like terms: -15x + -3x = -18x
13 + -18x = 3 + -1(x + 7)

Reorder the terms:
13 + -18x = 3 + -1(7 + x)
13 + -18x = 3 + (7 * -1 + x * -1)
13 + -18x = 3 + (-7 + -1x)

Combine like terms: 3 + -7 = -4
13 + -18x = -4 + -1x

Solving
13 + -18x = -4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
13 + -18x + x = -4 + -1x + x

Combine like terms: -18x + x = -17x
13 + -17x = -4 + -1x + x

Combine like terms: -1x + x = 0
13 + -17x = -4 + 0
13 + -17x = -4

Add '-13' to each side of the equation.
13 + -13 + -17x = -4 + -13

Combine like terms: 13 + -13 = 0
0 + -17x = -4 + -13
-17x = -4 + -13

Combine like terms: -4 + -13 = -17
-17x = -17

Divide each side by '-17'.
x = 1

Simplifying
x = 1

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