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

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


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

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

Reorder the terms:
-3 + 3x + -4(3 + 2x) = 10
-3 + 3x + (3 * -4 + 2x * -4) = 10
-3 + 3x + (-12 + -8x) = 10

Reorder the terms:
-3 + -12 + 3x + -8x = 10

Combine like terms: -3 + -12 = -15
-15 + 3x + -8x = 10

Combine like terms: 3x + -8x = -5x
-15 + -5x = 10

Solving
-15 + -5x = 10

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + -5x = 10 + 15

Combine like terms: -15 + 15 = 0
0 + -5x = 10 + 15
-5x = 10 + 15

Combine like terms: 10 + 15 = 25
-5x = 25

Divide each side by '-5'.
x = -5

Simplifying
x = -5

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