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

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


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

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

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

Reorder the terms:
10 + 4x = -30 + -2 + 3x

Combine like terms: -30 + -2 = -32
10 + 4x = -32 + 3x

Solving
10 + 4x = -32 + 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.
10 + 4x + -3x = -32 + 3x + -3x

Combine like terms: 4x + -3x = 1x
10 + 1x = -32 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 1x = -32 + 0
10 + 1x = -32

Add '-10' to each side of the equation.
10 + -10 + 1x = -32 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = -32 + -10
1x = -32 + -10

Combine like terms: -32 + -10 = -42
1x = -42

Divide each side by '1'.
x = -42

Simplifying
x = -42

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