3(x-4)=7x-10

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


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

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

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

Solving
-12 + 3x = -10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-12 + 3x + -7x = -10 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-12 + -4x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-12 + -4x = -10 + 0
-12 + -4x = -10

Add '12' to each side of the equation.
-12 + 12 + -4x = -10 + 12

Combine like terms: -12 + 12 = 0
0 + -4x = -10 + 12
-4x = -10 + 12

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

Divide each side by '-4'.
x = -0.5

Simplifying
x = -0.5

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