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

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


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

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

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

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

Reorder the terms:
-2 + -4x = -4 + x + 2x

Combine like terms: x + 2x = 3x
-2 + -4x = -4 + 3x

Solving
-2 + -4x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + -4x + -3x = -4 + 3x + -3x

Combine like terms: -4x + -3x = -7x
-2 + -7x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -7x = -4 + 0
-2 + -7x = -4

Add '2' to each side of the equation.
-2 + 2 + -7x = -4 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = -4 + 2
-7x = -4 + 2

Combine like terms: -4 + 2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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