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

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


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

Reorder the terms:
-3(-4 + x) + 7 = -2(x + -3) + 10
(-4 * -3 + x * -3) + 7 = -2(x + -3) + 10
(12 + -3x) + 7 = -2(x + -3) + 10

Reorder the terms:
12 + 7 + -3x = -2(x + -3) + 10

Combine like terms: 12 + 7 = 19
19 + -3x = -2(x + -3) + 10

Reorder the terms:
19 + -3x = -2(-3 + x) + 10
19 + -3x = (-3 * -2 + x * -2) + 10
19 + -3x = (6 + -2x) + 10

Reorder the terms:
19 + -3x = 6 + 10 + -2x

Combine like terms: 6 + 10 = 16
19 + -3x = 16 + -2x

Solving
19 + -3x = 16 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
19 + -3x + 2x = 16 + -2x + 2x

Combine like terms: -3x + 2x = -1x
19 + -1x = 16 + -2x + 2x

Combine like terms: -2x + 2x = 0
19 + -1x = 16 + 0
19 + -1x = 16

Add '-19' to each side of the equation.
19 + -19 + -1x = 16 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 16 + -19
-1x = 16 + -19

Combine like terms: 16 + -19 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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