4(3x-2)+5=2x-10

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Solution for 4(3x-2)+5=2x-10 equation:


Simplifying
4(3x + -2) + 5 = 2x + -10

Reorder the terms:
4(-2 + 3x) + 5 = 2x + -10
(-2 * 4 + 3x * 4) + 5 = 2x + -10
(-8 + 12x) + 5 = 2x + -10

Reorder the terms:
-8 + 5 + 12x = 2x + -10

Combine like terms: -8 + 5 = -3
-3 + 12x = 2x + -10

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

Solving
-3 + 12x = -10 + 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.
-3 + 12x + -2x = -10 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-3 + 10x = -10 + 0
-3 + 10x = -10

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

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

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

Divide each side by '10'.
x = -0.7

Simplifying
x = -0.7

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