4(x+3)-5(2x+1)=10

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Solution for 4(x+3)-5(2x+1)=10 equation:


Simplifying
4(x + 3) + -5(2x + 1) = 10

Reorder the terms:
4(3 + x) + -5(2x + 1) = 10
(3 * 4 + x * 4) + -5(2x + 1) = 10
(12 + 4x) + -5(2x + 1) = 10

Reorder the terms:
12 + 4x + -5(1 + 2x) = 10
12 + 4x + (1 * -5 + 2x * -5) = 10
12 + 4x + (-5 + -10x) = 10

Reorder the terms:
12 + -5 + 4x + -10x = 10

Combine like terms: 12 + -5 = 7
7 + 4x + -10x = 10

Combine like terms: 4x + -10x = -6x
7 + -6x = 10

Solving
7 + -6x = 10

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + -6x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = 10 + -7
-6x = 10 + -7

Combine like terms: 10 + -7 = 3
-6x = 3

Divide each side by '-6'.
x = -0.5

Simplifying
x = -0.5

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