-10(2x-1)+7(3x-2)-4=3-4

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Solution for -10(2x-1)+7(3x-2)-4=3-4 equation:


Simplifying
-10(2x + -1) + 7(3x + -2) + -4 = 3 + -4

Reorder the terms:
-10(-1 + 2x) + 7(3x + -2) + -4 = 3 + -4
(-1 * -10 + 2x * -10) + 7(3x + -2) + -4 = 3 + -4
(10 + -20x) + 7(3x + -2) + -4 = 3 + -4

Reorder the terms:
10 + -20x + 7(-2 + 3x) + -4 = 3 + -4
10 + -20x + (-2 * 7 + 3x * 7) + -4 = 3 + -4
10 + -20x + (-14 + 21x) + -4 = 3 + -4

Reorder the terms:
10 + -14 + -4 + -20x + 21x = 3 + -4

Combine like terms: 10 + -14 = -4
-4 + -4 + -20x + 21x = 3 + -4

Combine like terms: -4 + -4 = -8
-8 + -20x + 21x = 3 + -4

Combine like terms: -20x + 21x = 1x
-8 + 1x = 3 + -4

Combine like terms: 3 + -4 = -1
-8 + 1x = -1

Solving
-8 + 1x = -1

Solving for variable 'x'.

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

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

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

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

Divide each side by '1'.
x = 7

Simplifying
x = 7

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