4(x-1)=7x+10

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Solution for 4(x-1)=7x+10 equation:


Simplifying
4(x + -1) = 7x + 10

Reorder the terms:
4(-1 + x) = 7x + 10
(-1 * 4 + x * 4) = 7x + 10
(-4 + 4x) = 7x + 10

Reorder the terms:
-4 + 4x = 10 + 7x

Solving
-4 + 4x = 10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + 4x + -7x = 10 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-4 + -3x = 10 + 0
-4 + -3x = 10

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

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

Combine like terms: 10 + 4 = 14
-3x = 14

Divide each side by '-3'.
x = -4.666666667

Simplifying
x = -4.666666667

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