10(2x-3)-2(3x+4)=32

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Solution for 10(2x-3)-2(3x+4)=32 equation:


Simplifying
10(2x + -3) + -2(3x + 4) = 32

Reorder the terms:
10(-3 + 2x) + -2(3x + 4) = 32
(-3 * 10 + 2x * 10) + -2(3x + 4) = 32
(-30 + 20x) + -2(3x + 4) = 32

Reorder the terms:
-30 + 20x + -2(4 + 3x) = 32
-30 + 20x + (4 * -2 + 3x * -2) = 32
-30 + 20x + (-8 + -6x) = 32

Reorder the terms:
-30 + -8 + 20x + -6x = 32

Combine like terms: -30 + -8 = -38
-38 + 20x + -6x = 32

Combine like terms: 20x + -6x = 14x
-38 + 14x = 32

Solving
-38 + 14x = 32

Solving for variable 'x'.

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

Add '38' to each side of the equation.
-38 + 38 + 14x = 32 + 38

Combine like terms: -38 + 38 = 0
0 + 14x = 32 + 38
14x = 32 + 38

Combine like terms: 32 + 38 = 70
14x = 70

Divide each side by '14'.
x = 5

Simplifying
x = 5

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