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

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


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

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

Combine like terms: 4x + 3x = 7x
-4 + 7x = 5x + -10

Reorder the terms:
-4 + 7x = -10 + 5x

Solving
-4 + 7x = -10 + 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.
-4 + 7x + -5x = -10 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-4 + 2x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + 2x = -10 + 0
-4 + 2x = -10

Add '4' to each side of the equation.
-4 + 4 + 2x = -10 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = -10 + 4
2x = -10 + 4

Combine like terms: -10 + 4 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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