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

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


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

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

Combine like terms: 10 + -12 = -2
-2 + -4x = 5(x + -2) + -3

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

Reorder the terms:
-2 + -4x = -10 + -3 + 5x

Combine like terms: -10 + -3 = -13
-2 + -4x = -13 + 5x

Solving
-2 + -4x = -13 + 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.
-2 + -4x + -5x = -13 + 5x + -5x

Combine like terms: -4x + -5x = -9x
-2 + -9x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -9x = -13 + 0
-2 + -9x = -13

Add '2' to each side of the equation.
-2 + 2 + -9x = -13 + 2

Combine like terms: -2 + 2 = 0
0 + -9x = -13 + 2
-9x = -13 + 2

Combine like terms: -13 + 2 = -11
-9x = -11

Divide each side by '-9'.
x = 1.222222222

Simplifying
x = 1.222222222

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