6x+4(x-3)=5x-10

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Solution for 6x+4(x-3)=5x-10 equation:


Simplifying
6x + 4(x + -3) = 5x + -10

Reorder the terms:
6x + 4(-3 + x) = 5x + -10
6x + (-3 * 4 + x * 4) = 5x + -10
6x + (-12 + 4x) = 5x + -10

Reorder the terms:
-12 + 6x + 4x = 5x + -10

Combine like terms: 6x + 4x = 10x
-12 + 10x = 5x + -10

Reorder the terms:
-12 + 10x = -10 + 5x

Solving
-12 + 10x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-12 + 10x + -5x = -10 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-12 + 5x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + 5x = -10 + 0
-12 + 5x = -10

Add '12' to each side of the equation.
-12 + 12 + 5x = -10 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = -10 + 12
5x = -10 + 12

Combine like terms: -10 + 12 = 2
5x = 2

Divide each side by '5'.
x = 0.4

Simplifying
x = 0.4

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