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

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


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

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

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

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

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

Combine like terms: 4x + -3x = 1x
-7 + 1x = 10x

Solving
-7 + 1x = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-7 + 1x + -10x = 10x + -10x

Combine like terms: 1x + -10x = -9x
-7 + -9x = 10x + -10x

Combine like terms: 10x + -10x = 0
-7 + -9x = 0

Add '7' to each side of the equation.
-7 + 7 + -9x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -9x = 0 + 7
-9x = 0 + 7

Combine like terms: 0 + 7 = 7
-9x = 7

Divide each side by '-9'.
x = -0.7777777778

Simplifying
x = -0.7777777778

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