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

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


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

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

Combine like terms: 10x + -4x = 6x
-10 + 6x = 2x + -1 + 4(1)

Multiply 4 * 1
-10 + 6x = 2x + -1 + 4

Reorder the terms:
-10 + 6x = -1 + 4 + 2x

Combine like terms: -1 + 4 = 3
-10 + 6x = 3 + 2x

Solving
-10 + 6x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-10 + 6x + -2x = 3 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-10 + 4x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 4x = 3 + 0
-10 + 4x = 3

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

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

Combine like terms: 3 + 10 = 13
4x = 13

Divide each side by '4'.
x = 3.25

Simplifying
x = 3.25

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