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

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


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

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

Combine like terms: 2x + 3x = 5x
-10 + 5x = 4x + -3

Reorder the terms:
-10 + 5x = -3 + 4x

Solving
-10 + 5x = -3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 5x + -4x = -3 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-10 + 1x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 1x = -3 + 0
-10 + 1x = -3

Add '10' to each side of the equation.
-10 + 10 + 1x = -3 + 10

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

Combine like terms: -3 + 10 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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