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

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


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

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

Reorder the terms:
-4 + 4x + 3(3 + 2x) + -7x = -10
-4 + 4x + (3 * 3 + 2x * 3) + -7x = -10
-4 + 4x + (9 + 6x) + -7x = -10

Reorder the terms:
-4 + 9 + 4x + 6x + -7x = -10

Combine like terms: -4 + 9 = 5
5 + 4x + 6x + -7x = -10

Combine like terms: 4x + 6x = 10x
5 + 10x + -7x = -10

Combine like terms: 10x + -7x = 3x
5 + 3x = -10

Solving
5 + 3x = -10

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 3x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = -10 + -5
3x = -10 + -5

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

Divide each side by '3'.
x = -5

Simplifying
x = -5

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