0.7(x+100)=0.74x-214

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Solution for 0.7(x+100)=0.74x-214 equation: 


Simplifying
0.7(x + 100) = 0.74x + -214

Reorder the terms:
0.7(100 + x) = 0.74x + -214
(100 * 0.7 + x * 0.7) = 0.74x + -214
(70 + 0.7x) = 0.74x + -214

Reorder the terms:
70 + 0.7x = -214 + 0.74x

Solving
70 + 0.7x = -214 + 0.74x

Solving for variable 'x'.

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

Add '-0.74x' to each side of the equation.
70 + 0.7x + -0.74x = -214 + 0.74x + -0.74x

Combine like terms: 0.7x + -0.74x = -0.04x
70 + -0.04x = -214 + 0.74x + -0.74x

Combine like terms: 0.74x + -0.74x = 0.00
70 + -0.04x = -214 + 0.00
70 + -0.04x = -214

Add '-70' to each side of the equation.
70 + -70 + -0.04x = -214 + -70

Combine like terms: 70 + -70 = 0
0 + -0.04x = -214 + -70
-0.04x = -214 + -70

Combine like terms: -214 + -70 = -284
-0.04x = -284

Divide each side by '-0.04'.
x = 7100

Simplifying
x = 7100

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