-7(2x-1)+5(3x-2)-3=7-8

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Solution for -7(2x-1)+5(3x-2)-3=7-8 equation:


Simplifying
-7(2x + -1) + 5(3x + -2) + -3 = 7 + -8

Reorder the terms:
-7(-1 + 2x) + 5(3x + -2) + -3 = 7 + -8
(-1 * -7 + 2x * -7) + 5(3x + -2) + -3 = 7 + -8
(7 + -14x) + 5(3x + -2) + -3 = 7 + -8

Reorder the terms:
7 + -14x + 5(-2 + 3x) + -3 = 7 + -8
7 + -14x + (-2 * 5 + 3x * 5) + -3 = 7 + -8
7 + -14x + (-10 + 15x) + -3 = 7 + -8

Reorder the terms:
7 + -10 + -3 + -14x + 15x = 7 + -8

Combine like terms: 7 + -10 = -3
-3 + -3 + -14x + 15x = 7 + -8

Combine like terms: -3 + -3 = -6
-6 + -14x + 15x = 7 + -8

Combine like terms: -14x + 15x = 1x
-6 + 1x = 7 + -8

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

Solving
-6 + 1x = -1

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 1x = -1 + 6

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

Combine like terms: -1 + 6 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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