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

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


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

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

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

Reorder the terms:
12 + -3x = -12 + 10 + 4x

Combine like terms: -12 + 10 = -2
12 + -3x = -2 + 4x

Solving
12 + -3x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + -3x + -4x = -2 + 4x + -4x

Combine like terms: -3x + -4x = -7x
12 + -7x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -7x = -2 + 0
12 + -7x = -2

Add '-12' to each side of the equation.
12 + -12 + -7x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = -2 + -12
-7x = -2 + -12

Combine like terms: -2 + -12 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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