7(x-5)=10x+4

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


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

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

Reorder the terms:
-35 + 7x = 4 + 10x

Solving
-35 + 7x = 4 + 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.
-35 + 7x + -10x = 4 + 10x + -10x

Combine like terms: 7x + -10x = -3x
-35 + -3x = 4 + 10x + -10x

Combine like terms: 10x + -10x = 0
-35 + -3x = 4 + 0
-35 + -3x = 4

Add '35' to each side of the equation.
-35 + 35 + -3x = 4 + 35

Combine like terms: -35 + 35 = 0
0 + -3x = 4 + 35
-3x = 4 + 35

Combine like terms: 4 + 35 = 39
-3x = 39

Divide each side by '-3'.
x = -13

Simplifying
x = -13

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