7(x-1)=2(3x+5)-18

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Solution for 7(x-1)=2(3x+5)-18 equation:


Simplifying
7(x + -1) = 2(3x + 5) + -18

Reorder the terms:
7(-1 + x) = 2(3x + 5) + -18
(-1 * 7 + x * 7) = 2(3x + 5) + -18
(-7 + 7x) = 2(3x + 5) + -18

Reorder the terms:
-7 + 7x = 2(5 + 3x) + -18
-7 + 7x = (5 * 2 + 3x * 2) + -18
-7 + 7x = (10 + 6x) + -18

Reorder the terms:
-7 + 7x = 10 + -18 + 6x

Combine like terms: 10 + -18 = -8
-7 + 7x = -8 + 6x

Solving
-7 + 7x = -8 + 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 + 7x + -6x = -8 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-7 + 1x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + 1x = -8 + 0
-7 + 1x = -8

Add '7' to each side of the equation.
-7 + 7 + 1x = -8 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = -8 + 7
1x = -8 + 7

Combine like terms: -8 + 7 = -1
1x = -1

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

Simplifying
x = -1

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