4*(x-3)-7*(5x+4)=10x

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Solution for 4*(x-3)-7*(5x+4)=10x equation: 


Simplifying
4(x + -3) + -7(5x + 4) = 10x

Reorder the terms:
4(-3 + x) + -7(5x + 4) = 10x
(-3 * 4 + x * 4) + -7(5x + 4) = 10x
(-12 + 4x) + -7(5x + 4) = 10x

Reorder the terms:
-12 + 4x + -7(4 + 5x) = 10x
-12 + 4x + (4 * -7 + 5x * -7) = 10x
-12 + 4x + (-28 + -35x) = 10x

Reorder the terms:
-12 + -28 + 4x + -35x = 10x

Combine like terms: -12 + -28 = -40
-40 + 4x + -35x = 10x

Combine like terms: 4x + -35x = -31x
-40 + -31x = 10x

Solving
-40 + -31x = 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.
-40 + -31x + -10x = 10x + -10x

Combine like terms: -31x + -10x = -41x
-40 + -41x = 10x + -10x

Combine like terms: 10x + -10x = 0
-40 + -41x = 0

Add '40' to each side of the equation.
-40 + 40 + -41x = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -41x = 0 + 40
-41x = 0 + 40

Combine like terms: 0 + 40 = 40
-41x = 40

Divide each side by '-41'.
x = -0.9756097561

Simplifying
x = -0.9756097561

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