(10x-5)-3(3x+4)=-7

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Solution for (10x-5)-3(3x+4)=-7 equation:


Simplifying
(10x + -5) + -3(3x + 4) = -7

Reorder the terms:
(-5 + 10x) + -3(3x + 4) = -7

Remove parenthesis around (-5 + 10x)
-5 + 10x + -3(3x + 4) = -7

Reorder the terms:
-5 + 10x + -3(4 + 3x) = -7
-5 + 10x + (4 * -3 + 3x * -3) = -7
-5 + 10x + (-12 + -9x) = -7

Reorder the terms:
-5 + -12 + 10x + -9x = -7

Combine like terms: -5 + -12 = -17
-17 + 10x + -9x = -7

Combine like terms: 10x + -9x = 1x
-17 + 1x = -7

Solving
-17 + 1x = -7

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 1x = -7 + 17

Combine like terms: -17 + 17 = 0
0 + 1x = -7 + 17
1x = -7 + 17

Combine like terms: -7 + 17 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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