4x-71=7(x-10)

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Solution for 4x-71=7(x-10) equation:


Simplifying
4x + -71 = 7(x + -10)

Reorder the terms:
-71 + 4x = 7(x + -10)

Reorder the terms:
-71 + 4x = 7(-10 + x)
-71 + 4x = (-10 * 7 + x * 7)
-71 + 4x = (-70 + 7x)

Solving
-71 + 4x = -70 + 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.
-71 + 4x + -7x = -70 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-71 + -3x = -70 + 7x + -7x

Combine like terms: 7x + -7x = 0
-71 + -3x = -70 + 0
-71 + -3x = -70

Add '71' to each side of the equation.
-71 + 71 + -3x = -70 + 71

Combine like terms: -71 + 71 = 0
0 + -3x = -70 + 71
-3x = -70 + 71

Combine like terms: -70 + 71 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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