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

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


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

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

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

Combine like terms: -3 + -10 = -13
-13 + 3x = 4(x + -2)

Reorder the terms:
-13 + 3x = 4(-2 + x)
-13 + 3x = (-2 * 4 + x * 4)
-13 + 3x = (-8 + 4x)

Solving
-13 + 3x = -8 + 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.
-13 + 3x + -4x = -8 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-13 + -1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-13 + -1x = -8 + 0
-13 + -1x = -8

Add '13' to each side of the equation.
-13 + 13 + -1x = -8 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = -8 + 13
-1x = -8 + 13

Combine like terms: -8 + 13 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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