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

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


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

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

Combine like terms: -3 + -8 = -11
-10 + 2x = -11 + 12x

Solving
-10 + 2x = -11 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-10 + 2x + -12x = -11 + 12x + -12x

Combine like terms: 2x + -12x = -10x
-10 + -10x = -11 + 12x + -12x

Combine like terms: 12x + -12x = 0
-10 + -10x = -11 + 0
-10 + -10x = -11

Add '10' to each side of the equation.
-10 + 10 + -10x = -11 + 10

Combine like terms: -10 + 10 = 0
0 + -10x = -11 + 10
-10x = -11 + 10

Combine like terms: -11 + 10 = -1
-10x = -1

Divide each side by '-10'.
x = 0.1

Simplifying
x = 0.1

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